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Finding the Fourth Proportional to 417.27, 574.55 and 358.27

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Solution

The fourth proportional to 417.27, 574.55 and 358.27 is: 493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.27 : 574.55 = 358.27 : x
  2. Step 2: Convert to fraction form
    417.27/574.55 = 358.27/x
  3. Step 3: Cross multiply
    417.27x = 574.55 × 358.27
  4. Step 4: Simplify right side
    417.27x = 205,842.14
  5. Step 5: Solve for x
    x = 205,842.14/417.27
  6. Step 6: Final answer
    x = 493.30

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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.