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Finding the Fourth Proportional to 650.56, 897.76 and 401.92

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Solution

The fourth proportional to 650.56, 897.76 and 401.92 is: 554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.56 : 897.76 = 401.92 : x
  2. Step 2: Convert to fraction form
    650.56/897.76 = 401.92/x
  3. Step 3: Cross multiply
    650.56x = 897.76 × 401.92
  4. Step 4: Simplify right side
    650.56x = 360,827.70
  5. Step 5: Solve for x
    x = 360,827.70/650.56
  6. Step 6: Final answer
    x = 554.64

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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.