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Finding the Fourth Proportional to 649.67, 896.18 and 463.77

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Solution

The fourth proportional to 649.67, 896.18 and 463.77 is: 639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.67 : 896.18 = 463.77 : x
  2. Step 2: Convert to fraction form
    649.67/896.18 = 463.77/x
  3. Step 3: Cross multiply
    649.67x = 896.18 × 463.77
  4. Step 4: Simplify right side
    649.67x = 415,619.08
  5. Step 5: Solve for x
    x = 415,619.08/649.67
  6. Step 6: Final answer
    x = 639.74

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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.