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Finding the Fourth Proportional to 458.23, 632.47 and 283.47

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Solution

The fourth proportional to 458.23, 632.47 and 283.47 is: 391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.23 : 632.47 = 283.47 : x
  2. Step 2: Convert to fraction form
    458.23/632.47 = 283.47/x
  3. Step 3: Cross multiply
    458.23x = 632.47 × 283.47
  4. Step 4: Simplify right side
    458.23x = 179,286.27
  5. Step 5: Solve for x
    x = 179,286.27/458.23
  6. Step 6: Final answer
    x = 391.26

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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.