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Finding the Fourth Proportional to 650.16, 897.14 and 370.44

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Solution

The fourth proportional to 650.16, 897.14 and 370.44 is: 511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 897.14 = 370.44 : x
  2. Step 2: Convert to fraction form
    650.16/897.14 = 370.44/x
  3. Step 3: Cross multiply
    650.16x = 897.14 × 370.44
  4. Step 4: Simplify right side
    650.16x = 332,337.47
  5. Step 5: Solve for x
    x = 332,337.47/650.16
  6. Step 6: Final answer
    x = 511.16

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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.