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Finding the Fourth Proportional to 458.10, 632.22 and 261.56

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Solution

The fourth proportional to 458.10, 632.22 and 261.56 is: 360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 632.22 = 261.56 : x
  2. Step 2: Convert to fraction form
    458.10/632.22 = 261.56/x
  3. Step 3: Cross multiply
    458.10x = 632.22 × 261.56
  4. Step 4: Simplify right side
    458.10x = 165,363.46
  5. Step 5: Solve for x
    x = 165,363.46/458.10
  6. Step 6: Final answer
    x = 360.98

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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.