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Finding the Fourth Proportional to 653.81, 902.33 and 374.06

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Solution

The fourth proportional to 653.81, 902.33 and 374.06 is: 516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.81 : 902.33 = 374.06 : x
  2. Step 2: Convert to fraction form
    653.81/902.33 = 374.06/x
  3. Step 3: Cross multiply
    653.81x = 902.33 × 374.06
  4. Step 4: Simplify right side
    653.81x = 337,519.18
  5. Step 5: Solve for x
    x = 337,519.18/653.81
  6. Step 6: Final answer
    x = 516.24

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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.