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Finding the Fourth Proportional to 538.92, 807.57 and 417.42

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Solution

The fourth proportional to 538.92, 807.57 and 417.42 is: 625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.92 : 807.57 = 417.42 : x
  2. Step 2: Convert to fraction form
    538.92/807.57 = 417.42/x
  3. Step 3: Cross multiply
    538.92x = 807.57 × 417.42
  4. Step 4: Simplify right side
    538.92x = 337,095.87
  5. Step 5: Solve for x
    x = 337,095.87/538.92
  6. Step 6: Final answer
    x = 625.50

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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.