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Finding the Fourth Proportional to 728.42, 1,005.25 and 417.98

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Solution

The fourth proportional to 728.42, 1,005.25 and 417.98 is: 576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.42 : 1,005.25 = 417.98 : x
  2. Step 2: Convert to fraction form
    728.42/1,005.25 = 417.98/x
  3. Step 3: Cross multiply
    728.42x = 1,005.25 × 417.98
  4. Step 4: Simplify right side
    728.42x = 420,174.40
  5. Step 5: Solve for x
    x = 420,174.40/728.42
  6. Step 6: Final answer
    x = 576.83

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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.