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Finding the Fourth Proportional to 584.92, 806.52 and 538.48

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Solution

The fourth proportional to 584.92, 806.52 and 538.48 is: 742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 806.52 = 538.48 : x
  2. Step 2: Convert to fraction form
    584.92/806.52 = 538.48/x
  3. Step 3: Cross multiply
    584.92x = 806.52 × 538.48
  4. Step 4: Simplify right side
    584.92x = 434,294.89
  5. Step 5: Solve for x
    x = 434,294.89/584.92
  6. Step 6: Final answer
    x = 742.49

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Why These Related Problems?

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