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Finding the Fourth Proportional to 653.43, 901.75 and 391.60

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Solution

The fourth proportional to 653.43, 901.75 and 391.60 is: 540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.43 : 901.75 = 391.60 : x
  2. Step 2: Convert to fraction form
    653.43/901.75 = 391.60/x
  3. Step 3: Cross multiply
    653.43x = 901.75 × 391.60
  4. Step 4: Simplify right side
    653.43x = 353,125.30
  5. Step 5: Solve for x
    x = 353,125.30/653.43
  6. Step 6: Final answer
    x = 540.42

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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.