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Finding the Fourth Proportional to 508.47, 759.03 and 446.97

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Solution

The fourth proportional to 508.47, 759.03 and 446.97 is: 667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.47 : 759.03 = 446.97 : x
  2. Step 2: Convert to fraction form
    508.47/759.03 = 446.97/x
  3. Step 3: Cross multiply
    508.47x = 759.03 × 446.97
  4. Step 4: Simplify right side
    508.47x = 339,263.64
  5. Step 5: Solve for x
    x = 339,263.64/508.47
  6. Step 6: Final answer
    x = 667.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.