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Finding the Fourth Proportional to 458.50, 632.73 and 283.95

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Solution

The fourth proportional to 458.50, 632.73 and 283.95 is: 391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.50 : 632.73 = 283.95 : x
  2. Step 2: Convert to fraction form
    458.50/632.73 = 283.95/x
  3. Step 3: Cross multiply
    458.50x = 632.73 × 283.95
  4. Step 4: Simplify right side
    458.50x = 179,663.68
  5. Step 5: Solve for x
    x = 179,663.68/458.50
  6. Step 6: Final answer
    x = 391.85

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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.