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Finding the Fourth Proportional to 653.40, 901.80 and 391.56

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Solution

The fourth proportional to 653.40, 901.80 and 391.56 is: 540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.40 : 901.80 = 391.56 : x
  2. Step 2: Convert to fraction form
    653.40/901.80 = 391.56/x
  3. Step 3: Cross multiply
    653.40x = 901.80 × 391.56
  4. Step 4: Simplify right side
    653.40x = 353,108.81
  5. Step 5: Solve for x
    x = 353,108.81/653.40
  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.