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Finding the Fourth Proportional to 474.11, 652.21 and 417.81

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Solution

The fourth proportional to 474.11, 652.21 and 417.81 is: 574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.11 : 652.21 = 417.81 : x
  2. Step 2: Convert to fraction form
    474.11/652.21 = 417.81/x
  3. Step 3: Cross multiply
    474.11x = 652.21 × 417.81
  4. Step 4: Simplify right side
    474.11x = 272,499.86
  5. Step 5: Solve for x
    x = 272,499.86/474.11
  6. Step 6: Final answer
    x = 574.76

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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.