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Finding the Fourth Proportional to 458.43, 632.34 and 292.74

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Solution

The fourth proportional to 458.43, 632.34 and 292.74 is: 403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.43 : 632.34 = 292.74 : x
  2. Step 2: Convert to fraction form
    458.43/632.34 = 292.74/x
  3. Step 3: Cross multiply
    458.43x = 632.34 × 292.74
  4. Step 4: Simplify right side
    458.43x = 185,111.21
  5. Step 5: Solve for x
    x = 185,111.21/458.43
  6. Step 6: Final answer
    x = 403.79

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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.