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Finding the Fourth Proportional to 510.69, 704.75 and 277.82

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Solution

The fourth proportional to 510.69, 704.75 and 277.82 is: 383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.69 : 704.75 = 277.82 : x
  2. Step 2: Convert to fraction form
    510.69/704.75 = 277.82/x
  3. Step 3: Cross multiply
    510.69x = 704.75 × 277.82
  4. Step 4: Simplify right side
    510.69x = 195,793.65
  5. Step 5: Solve for x
    x = 195,793.65/510.69
  6. Step 6: Final answer
    x = 383.39

Related Problems

Find fourth proportional to 255.35, 352.38 and 138.91
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.