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Finding the Fourth Proportional to 402.54, 603.50 and 240.33

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Solution

The fourth proportional to 402.54, 603.50 and 240.33 is: 360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.54 : 603.50 = 240.33 : x
  2. Step 2: Convert to fraction form
    402.54/603.50 = 240.33/x
  3. Step 3: Cross multiply
    402.54x = 603.50 × 240.33
  4. Step 4: Simplify right side
    402.54x = 145,037.95
  5. Step 5: Solve for x
    x = 145,037.95/402.54
  6. Step 6: Final answer
    x = 360.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.