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Finding the Fourth Proportional to 458.01, 632.06 and 261.49

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Solution

The fourth proportional to 458.01, 632.06 and 261.49 is: 360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.01 : 632.06 = 261.49 : x
  2. Step 2: Convert to fraction form
    458.01/632.06 = 261.49/x
  3. Step 3: Cross multiply
    458.01x = 632.06 × 261.49
  4. Step 4: Simplify right side
    458.01x = 165,277.37
  5. Step 5: Solve for x
    x = 165,277.37/458.01
  6. Step 6: Final answer
    x = 360.86

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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.