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Finding the Fourth Proportional to 460.76, 691.00 and 172.13

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Solution

The fourth proportional to 460.76, 691.00 and 172.13 is: 258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.76 : 691.00 = 172.13 : x
  2. Step 2: Convert to fraction form
    460.76/691.00 = 172.13/x
  3. Step 3: Cross multiply
    460.76x = 691.00 × 172.13
  4. Step 4: Simplify right side
    460.76x = 118,937.94
  5. Step 5: Solve for x
    x = 118,937.94/460.76
  6. Step 6: Final answer
    x = 258.14

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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.