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Finding the Fourth Proportional to 460.31, 691.00 and 186.59

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Solution

The fourth proportional to 460.31, 691.00 and 186.59 is: 280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.31 : 691.00 = 186.59 : x
  2. Step 2: Convert to fraction form
    460.31/691.00 = 186.59/x
  3. Step 3: Cross multiply
    460.31x = 691.00 × 186.59
  4. Step 4: Simplify right side
    460.31x = 128,934.95
  5. Step 5: Solve for x
    x = 128,934.95/460.31
  6. Step 6: Final answer
    x = 280.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.