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Finding the Fourth Proportional to 458.18, 632.25 and 261.65

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Solution

The fourth proportional to 458.18, 632.25 and 261.65 is: 361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.18 : 632.25 = 261.65 : x
  2. Step 2: Convert to fraction form
    458.18/632.25 = 261.65/x
  3. Step 3: Cross multiply
    458.18x = 632.25 × 261.65
  4. Step 4: Simplify right side
    458.18x = 165,428.21
  5. Step 5: Solve for x
    x = 165,428.21/458.18
  6. Step 6: Final answer
    x = 361.06

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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.