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Finding the Fourth Proportional to 460.17, 689.57 and 382.94

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Solution

The fourth proportional to 460.17, 689.57 and 382.94 is: 573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.17 : 689.57 = 382.94 : x
  2. Step 2: Convert to fraction form
    460.17/689.57 = 382.94/x
  3. Step 3: Cross multiply
    460.17x = 689.57 × 382.94
  4. Step 4: Simplify right side
    460.17x = 264,058.57
  5. Step 5: Solve for x
    x = 264,058.57/460.17
  6. Step 6: Final answer
    x = 573.83

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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.