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Finding the Fourth Proportional to 905.46, 1,357.11 and 417.47

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Solution

The fourth proportional to 905.46, 1,357.11 and 417.47 is: 625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.46 : 1,357.11 = 417.47 : x
  2. Step 2: Convert to fraction form
    905.46/1,357.11 = 417.47/x
  3. Step 3: Cross multiply
    905.46x = 1,357.11 × 417.47
  4. Step 4: Simplify right side
    905.46x = 566,545.93
  5. Step 5: Solve for x
    x = 566,545.93/905.46
  6. Step 6: Final answer
    x = 625.70

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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.