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Finding the Fourth Proportional to 460.13, 689.02 and 254.47

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Solution

The fourth proportional to 460.13, 689.02 and 254.47 is: 381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.13 : 689.02 = 254.47 : x
  2. Step 2: Convert to fraction form
    460.13/689.02 = 254.47/x
  3. Step 3: Cross multiply
    460.13x = 689.02 × 254.47
  4. Step 4: Simplify right side
    460.13x = 175,332.56
  5. Step 5: Solve for x
    x = 175,332.56/460.13
  6. Step 6: Final answer
    x = 381.05

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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.