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Finding the Fourth Proportional to 650.48, 897.96 and 493.18

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Solution

The fourth proportional to 650.48, 897.96 and 493.18 is: 680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.48 : 897.96 = 493.18 : x
  2. Step 2: Convert to fraction form
    650.48/897.96 = 493.18/x
  3. Step 3: Cross multiply
    650.48x = 897.96 × 493.18
  4. Step 4: Simplify right side
    650.48x = 442,853.67
  5. Step 5: Solve for x
    x = 442,853.67/650.48
  6. Step 6: Final answer
    x = 680.82

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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.