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Finding the Fourth Proportional to 460.02, 689.42 and 337.71

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Solution

The fourth proportional to 460.02, 689.42 and 337.71 is: 506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.02 : 689.42 = 337.71 : x
  2. Step 2: Convert to fraction form
    460.02/689.42 = 337.71/x
  3. Step 3: Cross multiply
    460.02x = 689.42 × 337.71
  4. Step 4: Simplify right side
    460.02x = 232,824.87
  5. Step 5: Solve for x
    x = 232,824.87/460.02
  6. Step 6: Final answer
    x = 506.12

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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.