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Finding the Fourth Proportional to 650.60, 897.16 and 463.76

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Solution

The fourth proportional to 650.60, 897.16 and 463.76 is: 639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.60 : 897.16 = 463.76 : x
  2. Step 2: Convert to fraction form
    650.60/897.16 = 463.76/x
  3. Step 3: Cross multiply
    650.60x = 897.16 × 463.76
  4. Step 4: Simplify right side
    650.60x = 416,066.92
  5. Step 5: Solve for x
    x = 416,066.92/650.60
  6. Step 6: Final answer
    x = 639.51

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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.