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Finding the Fourth Proportional to 458.57, 632.90 and 292.86

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Solution

The fourth proportional to 458.57, 632.90 and 292.86 is: 404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.57 : 632.90 = 292.86 : x
  2. Step 2: Convert to fraction form
    458.57/632.90 = 292.86/x
  3. Step 3: Cross multiply
    458.57x = 632.90 × 292.86
  4. Step 4: Simplify right side
    458.57x = 185,349.63
  5. Step 5: Solve for x
    x = 185,349.63/458.57
  6. Step 6: Final answer
    x = 404.19

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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.