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Finding the Fourth Proportional to 653.72, 901.82 and 391.54

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Solution

The fourth proportional to 653.72, 901.82 and 391.54 is: 540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.72 : 901.82 = 391.54 : x
  2. Step 2: Convert to fraction form
    653.72/901.82 = 391.54/x
  3. Step 3: Cross multiply
    653.72x = 901.82 × 391.54
  4. Step 4: Simplify right side
    653.72x = 353,098.60
  5. Step 5: Solve for x
    x = 353,098.60/653.72
  6. Step 6: Final answer
    x = 540.14

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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.