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Finding the Fourth Proportional to 458.06, 632.41 and 318.14

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Solution

The fourth proportional to 458.06, 632.41 and 318.14 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.06 : 632.41 = 318.14 : x
  2. Step 2: Convert to fraction form
    458.06/632.41 = 318.14/x
  3. Step 3: Cross multiply
    458.06x = 632.41 × 318.14
  4. Step 4: Simplify right side
    458.06x = 201,191.76
  5. Step 5: Solve for x
    x = 201,191.76/458.06
  6. Step 6: Final answer
    x = 439.23

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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.