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Finding the Fourth Proportional to 653.24, 901.22 and 404.12

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Solution

The fourth proportional to 653.24, 901.22 and 404.12 is: 557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 901.22 = 404.12 : x
  2. Step 2: Convert to fraction form
    653.24/901.22 = 404.12/x
  3. Step 3: Cross multiply
    653.24x = 901.22 × 404.12
  4. Step 4: Simplify right side
    653.24x = 364,201.26
  5. Step 5: Solve for x
    x = 364,201.26/653.24
  6. Step 6: Final answer
    x = 557.53

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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.