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Finding the Fourth Proportional to 458.54, 632.36 and 353.46

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Solution

The fourth proportional to 458.54, 632.36 and 353.46 is: 487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.54 : 632.36 = 353.46 : x
  2. Step 2: Convert to fraction form
    458.54/632.36 = 353.46/x
  3. Step 3: Cross multiply
    458.54x = 632.36 × 353.46
  4. Step 4: Simplify right side
    458.54x = 223,512.56
  5. Step 5: Solve for x
    x = 223,512.56/458.54
  6. Step 6: Final answer
    x = 487.44

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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.