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Finding the Fourth Proportional to 510.25, 704.16 and 277.39

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Solution

The fourth proportional to 510.25, 704.16 and 277.39 is: 382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.25 : 704.16 = 277.39 : x
  2. Step 2: Convert to fraction form
    510.25/704.16 = 277.39/x
  3. Step 3: Cross multiply
    510.25x = 704.16 × 277.39
  4. Step 4: Simplify right side
    510.25x = 195,326.94
  5. Step 5: Solve for x
    x = 195,326.94/510.25
  6. Step 6: Final answer
    x = 382.81

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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.