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Finding the Fourth Proportional to 458.02, 631.12 and 408.37

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Solution

The fourth proportional to 458.02, 631.12 and 408.37 is: 562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.02 : 631.12 = 408.37 : x
  2. Step 2: Convert to fraction form
    458.02/631.12 = 408.37/x
  3. Step 3: Cross multiply
    458.02x = 631.12 × 408.37
  4. Step 4: Simplify right side
    458.02x = 257,730.47
  5. Step 5: Solve for x
    x = 257,730.47/458.02
  6. Step 6: Final answer
    x = 562.71

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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.