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Finding the Fourth Proportional to 458.13, 632.21 and 283.47

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Solution

The fourth proportional to 458.13, 632.21 and 283.47 is: 391.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.13 : 632.21 = 283.47 : x
  2. Step 2: Convert to fraction form
    458.13/632.21 = 283.47/x
  3. Step 3: Cross multiply
    458.13x = 632.21 × 283.47
  4. Step 4: Simplify right side
    458.13x = 179,212.57
  5. Step 5: Solve for x
    x = 179,212.57/458.13
  6. Step 6: Final answer
    x = 391.18

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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.