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Finding the Fourth Proportional to 653.70, 902.16 and 374.03

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Solution

The fourth proportional to 653.70, 902.16 and 374.03 is: 516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.70 : 902.16 = 374.03 : x
  2. Step 2: Convert to fraction form
    653.70/902.16 = 374.03/x
  3. Step 3: Cross multiply
    653.70x = 902.16 × 374.03
  4. Step 4: Simplify right side
    653.70x = 337,428.52
  5. Step 5: Solve for x
    x = 337,428.52/653.70
  6. Step 6: Final answer
    x = 516.18

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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.