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Finding the Fourth Proportional to 653.28, 901.54 and 391.42

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Solution

The fourth proportional to 653.28, 901.54 and 391.42 is: 540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.28 : 901.54 = 391.42 : x
  2. Step 2: Convert to fraction form
    653.28/901.54 = 391.42/x
  3. Step 3: Cross multiply
    653.28x = 901.54 × 391.42
  4. Step 4: Simplify right side
    653.28x = 352,880.79
  5. Step 5: Solve for x
    x = 352,880.79/653.28
  6. Step 6: Final answer
    x = 540.17

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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.