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Finding the Fourth Proportional to 458, 632.04 and 283.49

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Solution

The fourth proportional to 458, 632.04 and 283.49 is: 391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458 : 632.04 = 283.49 : x
  2. Step 2: Convert to fraction form
    458/632.04 = 283.49/x
  3. Step 3: Cross multiply
    458x = 632.04 × 283.49
  4. Step 4: Simplify right side
    458x = 179,177.02
  5. Step 5: Solve for x
    x = 179,177.02/458
  6. Step 6: Final answer
    x = 391.22

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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.