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Finding the Fourth Proportional to 458.62, 633.35 and 292.91

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Solution

The fourth proportional to 458.62, 633.35 and 292.91 is: 404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.62 : 633.35 = 292.91 : x
  2. Step 2: Convert to fraction form
    458.62/633.35 = 292.91/x
  3. Step 3: Cross multiply
    458.62x = 633.35 × 292.91
  4. Step 4: Simplify right side
    458.62x = 185,512.11
  5. Step 5: Solve for x
    x = 185,512.11/458.62
  6. Step 6: Final answer
    x = 404.50

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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.