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Finding the Fourth Proportional to 427.01, 588.65 and 261.11

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Solution

The fourth proportional to 427.01, 588.65 and 261.11 is: 359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.01 : 588.65 = 261.11 : x
  2. Step 2: Convert to fraction form
    427.01/588.65 = 261.11/x
  3. Step 3: Cross multiply
    427.01x = 588.65 × 261.11
  4. Step 4: Simplify right side
    427.01x = 153,702.57
  5. Step 5: Solve for x
    x = 153,702.57/427.01
  6. Step 6: Final answer
    x = 359.95

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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.