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Finding the Fourth Proportional to 650, 897 and 370.24

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Solution

The fourth proportional to 650, 897 and 370.24 is: 510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 897 = 370.24 : x
  2. Step 2: Convert to fraction form
    650/897 = 370.24/x
  3. Step 3: Cross multiply
    650x = 897 × 370.24
  4. Step 4: Simplify right side
    650x = 332,105.28
  5. Step 5: Solve for x
    x = 332,105.28/650
  6. Step 6: Final answer
    x = 510.93

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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.