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Finding the Fourth Proportional to 402.24, 602.64 and 185.28

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Solution

The fourth proportional to 402.24, 602.64 and 185.28 is: 277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.24 : 602.64 = 185.28 : x
  2. Step 2: Convert to fraction form
    402.24/602.64 = 185.28/x
  3. Step 3: Cross multiply
    402.24x = 602.64 × 185.28
  4. Step 4: Simplify right side
    402.24x = 111,657.14
  5. Step 5: Solve for x
    x = 111,657.14/402.24
  6. Step 6: Final answer
    x = 277.59

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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.