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Finding the Fourth Proportional to 649.65, 897.21 and 440.76

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Solution

The fourth proportional to 649.65, 897.21 and 440.76 is: 608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.65 : 897.21 = 440.76 : x
  2. Step 2: Convert to fraction form
    649.65/897.21 = 440.76/x
  3. Step 3: Cross multiply
    649.65x = 897.21 × 440.76
  4. Step 4: Simplify right side
    649.65x = 395,454.28
  5. Step 5: Solve for x
    x = 395,454.28/649.65
  6. Step 6: Final answer
    x = 608.72

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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.