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Finding the Fourth Proportional to 653.28, 901.41 and 391.30

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Solution

The fourth proportional to 653.28, 901.41 and 391.30 is: 539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.28 : 901.41 = 391.30 : x
  2. Step 2: Convert to fraction form
    653.28/901.41 = 391.30/x
  3. Step 3: Cross multiply
    653.28x = 901.41 × 391.30
  4. Step 4: Simplify right side
    653.28x = 352,718.01
  5. Step 5: Solve for x
    x = 352,718.01/653.28
  6. Step 6: Final answer
    x = 539.92

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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.