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Finding the Fourth Proportional to 458.08, 631.96 and 411.24

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Solution

The fourth proportional to 458.08, 631.96 and 411.24 is: 567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.08 : 631.96 = 411.24 : x
  2. Step 2: Convert to fraction form
    458.08/631.96 = 411.24/x
  3. Step 3: Cross multiply
    458.08x = 631.96 × 411.24
  4. Step 4: Simplify right side
    458.08x = 259,887.23
  5. Step 5: Solve for x
    x = 259,887.23/458.08
  6. Step 6: Final answer
    x = 567.34

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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.