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Finding the Fourth Proportional to 652.97, 901.52 and 404.44

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Solution

The fourth proportional to 652.97, 901.52 and 404.44 is: 558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.97 : 901.52 = 404.44 : x
  2. Step 2: Convert to fraction form
    652.97/901.52 = 404.44/x
  3. Step 3: Cross multiply
    652.97x = 901.52 × 404.44
  4. Step 4: Simplify right side
    652.97x = 364,610.75
  5. Step 5: Solve for x
    x = 364,610.75/652.97
  6. Step 6: Final answer
    x = 558.39

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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.