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Finding the Fourth Proportional to 458.33, 632.68 and 292.55

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Solution

The fourth proportional to 458.33, 632.68 and 292.55 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.33 : 632.68 = 292.55 : x
  2. Step 2: Convert to fraction form
    458.33/632.68 = 292.55/x
  3. Step 3: Cross multiply
    458.33x = 632.68 × 292.55
  4. Step 4: Simplify right side
    458.33x = 185,086.64
  5. Step 5: Solve for x
    x = 185,086.64/458.33
  6. Step 6: Final answer
    x = 403.83

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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.