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Finding the Fourth Proportional to 653.52, 901.92 and 391.60

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Solution

The fourth proportional to 653.52, 901.92 and 391.60 is: 540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 901.92 = 391.60 : x
  2. Step 2: Convert to fraction form
    653.52/901.92 = 391.60/x
  3. Step 3: Cross multiply
    653.52x = 901.92 × 391.60
  4. Step 4: Simplify right side
    653.52x = 353,191.87
  5. Step 5: Solve for x
    x = 353,191.87/653.52
  6. Step 6: Final answer
    x = 540.45

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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.