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Finding the Fourth Proportional to 649.17, 895.32 and 462.60

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Solution

The fourth proportional to 649.17, 895.32 and 462.60 is: 638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.17 : 895.32 = 462.60 : x
  2. Step 2: Convert to fraction form
    649.17/895.32 = 462.60/x
  3. Step 3: Cross multiply
    649.17x = 895.32 × 462.60
  4. Step 4: Simplify right side
    649.17x = 414,175.03
  5. Step 5: Solve for x
    x = 414,175.03/649.17
  6. Step 6: Final answer
    x = 638.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.