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Finding the Fourth Proportional to 650.16, 897.55 and 401.83

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Solution

The fourth proportional to 650.16, 897.55 and 401.83 is: 554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 897.55 = 401.83 : x
  2. Step 2: Convert to fraction form
    650.16/897.55 = 401.83/x
  3. Step 3: Cross multiply
    650.16x = 897.55 × 401.83
  4. Step 4: Simplify right side
    650.16x = 360,659.27
  5. Step 5: Solve for x
    x = 360,659.27/650.16
  6. Step 6: Final answer
    x = 554.72

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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.