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Finding the Fourth Proportional to 650.32, 897.62 and 401.85

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Solution

The fourth proportional to 650.32, 897.62 and 401.85 is: 554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.32 : 897.62 = 401.85 : x
  2. Step 2: Convert to fraction form
    650.32/897.62 = 401.85/x
  3. Step 3: Cross multiply
    650.32x = 897.62 × 401.85
  4. Step 4: Simplify right side
    650.32x = 360,706.59
  5. Step 5: Solve for x
    x = 360,706.59/650.32
  6. Step 6: Final answer
    x = 554.66

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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.