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Finding the Fourth Proportional to 508.68, 763.10 and 317.64

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Solution

The fourth proportional to 508.68, 763.10 and 317.64 is: 476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.68 : 763.10 = 317.64 : x
  2. Step 2: Convert to fraction form
    508.68/763.10 = 317.64/x
  3. Step 3: Cross multiply
    508.68x = 763.10 × 317.64
  4. Step 4: Simplify right side
    508.68x = 242,391.08
  5. Step 5: Solve for x
    x = 242,391.08/508.68
  6. Step 6: Final answer
    x = 476.51

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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.