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Finding the Fourth Proportional to 458.11, 632.19 and 353.01

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Solution

The fourth proportional to 458.11, 632.19 and 353.01 is: 487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.11 : 632.19 = 353.01 : x
  2. Step 2: Convert to fraction form
    458.11/632.19 = 353.01/x
  3. Step 3: Cross multiply
    458.11x = 632.19 × 353.01
  4. Step 4: Simplify right side
    458.11x = 223,167.54
  5. Step 5: Solve for x
    x = 223,167.54/458.11
  6. Step 6: Final answer
    x = 487.15

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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.