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Finding the Fourth Proportional to 653.26, 901.52 and 358.54

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Solution

The fourth proportional to 653.26, 901.52 and 358.54 is: 494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.26 : 901.52 = 358.54 : x
  2. Step 2: Convert to fraction form
    653.26/901.52 = 358.54/x
  3. Step 3: Cross multiply
    653.26x = 901.52 × 358.54
  4. Step 4: Simplify right side
    653.26x = 323,230.98
  5. Step 5: Solve for x
    x = 323,230.98/653.26
  6. Step 6: Final answer
    x = 494.80

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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.