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Finding the Fourth Proportional to 510.65, 704.69 and 277.77

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Solution

The fourth proportional to 510.65, 704.69 and 277.77 is: 383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.65 : 704.69 = 277.77 : x
  2. Step 2: Convert to fraction form
    510.65/704.69 = 277.77/x
  3. Step 3: Cross multiply
    510.65x = 704.69 × 277.77
  4. Step 4: Simplify right side
    510.65x = 195,741.74
  5. Step 5: Solve for x
    x = 195,741.74/510.65
  6. Step 6: Final answer
    x = 383.32

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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.