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Finding the Fourth Proportional to 508.92, 758.31 and 454.40

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Solution

The fourth proportional to 508.92, 758.31 and 454.40 is: 677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.92 : 758.31 = 454.40 : x
  2. Step 2: Convert to fraction form
    508.92/758.31 = 454.40/x
  3. Step 3: Cross multiply
    508.92x = 758.31 × 454.40
  4. Step 4: Simplify right side
    508.92x = 344,572.27
  5. Step 5: Solve for x
    x = 344,572.27/508.92
  6. Step 6: Final answer
    x = 677.07

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Why These Related Problems?

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