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Finding the Fourth Proportional to 653.57, 901.63 and 391.58

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Solution

The fourth proportional to 653.57, 901.63 and 391.58 is: 540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.57 : 901.63 = 391.58 : x
  2. Step 2: Convert to fraction form
    653.57/901.63 = 391.58/x
  3. Step 3: Cross multiply
    653.57x = 901.63 × 391.58
  4. Step 4: Simplify right side
    653.57x = 353,060.28
  5. Step 5: Solve for x
    x = 353,060.28/653.57
  6. Step 6: Final answer
    x = 540.20

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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.