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Finding the Fourth Proportional to 515.04, 773.68 and 506.88

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Solution

The fourth proportional to 515.04, 773.68 and 506.88 is: 761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.04 : 773.68 = 506.88 : x
  2. Step 2: Convert to fraction form
    515.04/773.68 = 506.88/x
  3. Step 3: Cross multiply
    515.04x = 773.68 × 506.88
  4. Step 4: Simplify right side
    515.04x = 392,162.92
  5. Step 5: Solve for x
    x = 392,162.92/515.04
  6. Step 6: Final answer
    x = 761.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.