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Finding the Fourth Proportional to 460.43, 689.64 and 356.90

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Solution

The fourth proportional to 460.43, 689.64 and 356.90 is: 534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.43 : 689.64 = 356.90 : x
  2. Step 2: Convert to fraction form
    460.43/689.64 = 356.90/x
  3. Step 3: Cross multiply
    460.43x = 689.64 × 356.90
  4. Step 4: Simplify right side
    460.43x = 246,132.46
  5. Step 5: Solve for x
    x = 246,132.46/460.43
  6. Step 6: Final answer
    x = 534.57

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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.