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Finding the Fourth Proportional to 417.72, 625.76 and 383.29

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Solution

The fourth proportional to 417.72, 625.76 and 383.29 is: 574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 625.76 = 383.29 : x
  2. Step 2: Convert to fraction form
    417.72/625.76 = 383.29/x
  3. Step 3: Cross multiply
    417.72x = 625.76 × 383.29
  4. Step 4: Simplify right side
    417.72x = 239,847.55
  5. Step 5: Solve for x
    x = 239,847.55/417.72
  6. Step 6: Final answer
    x = 574.18

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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.