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Finding the Fourth Proportional to 508.42, 703 and 500.18

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Solution

The fourth proportional to 508.42, 703 and 500.18 is: 691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.42 : 703 = 500.18 : x
  2. Step 2: Convert to fraction form
    508.42/703 = 500.18/x
  3. Step 3: Cross multiply
    508.42x = 703 × 500.18
  4. Step 4: Simplify right side
    508.42x = 351,626.54
  5. Step 5: Solve for x
    x = 351,626.54/508.42
  6. Step 6: Final answer
    x = 691.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.