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Finding the Fourth Proportional to 653.52, 901.89 and 387.98

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Solution

The fourth proportional to 653.52, 901.89 and 387.98 is: 535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 901.89 = 387.98 : x
  2. Step 2: Convert to fraction form
    653.52/901.89 = 387.98/x
  3. Step 3: Cross multiply
    653.52x = 901.89 × 387.98
  4. Step 4: Simplify right side
    653.52x = 349,910.77
  5. Step 5: Solve for x
    x = 349,910.77/653.52
  6. Step 6: Final answer
    x = 535.42

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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.