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Finding the Fourth Proportional to 460.89, 691.38 and 152.66

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Solution

The fourth proportional to 460.89, 691.38 and 152.66 is: 229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.89 : 691.38 = 152.66 : x
  2. Step 2: Convert to fraction form
    460.89/691.38 = 152.66/x
  3. Step 3: Cross multiply
    460.89x = 691.38 × 152.66
  4. Step 4: Simplify right side
    460.89x = 105,542.61
  5. Step 5: Solve for x
    x = 105,542.61/460.89
  6. Step 6: Final answer
    x = 229.00

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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.