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Finding the Fourth Proportional to 458.39, 632.68 and 292.57

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Solution

The fourth proportional to 458.39, 632.68 and 292.57 is: 403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.39 : 632.68 = 292.57 : x
  2. Step 2: Convert to fraction form
    458.39/632.68 = 292.57/x
  3. Step 3: Cross multiply
    458.39x = 632.68 × 292.57
  4. Step 4: Simplify right side
    458.39x = 185,100.87
  5. Step 5: Solve for x
    x = 185,100.87/458.39
  6. Step 6: Final answer
    x = 403.80

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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.