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Finding the Fourth Proportional to 474.14, 653 and 408.62

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Solution

The fourth proportional to 474.14, 653 and 408.62 is: 562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.14 : 653 = 408.62 : x
  2. Step 2: Convert to fraction form
    474.14/653 = 408.62/x
  3. Step 3: Cross multiply
    474.14x = 653 × 408.62
  4. Step 4: Simplify right side
    474.14x = 266,828.86
  5. Step 5: Solve for x
    x = 266,828.86/474.14
  6. Step 6: Final answer
    x = 562.76

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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.