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Finding the Fourth Proportional to 508.93, 763.69 and 314.41

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Solution

The fourth proportional to 508.93, 763.69 and 314.41 is: 471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.93 : 763.69 = 314.41 : x
  2. Step 2: Convert to fraction form
    508.93/763.69 = 314.41/x
  3. Step 3: Cross multiply
    508.93x = 763.69 × 314.41
  4. Step 4: Simplify right side
    508.93x = 240,111.10
  5. Step 5: Solve for x
    x = 240,111.10/508.93
  6. Step 6: Final answer
    x = 471.79

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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.