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Finding the Fourth Proportional to 469.32, 704.10 and 180.78

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Solution

The fourth proportional to 469.32, 704.10 and 180.78 is: 271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.32 : 704.10 = 180.78 : x
  2. Step 2: Convert to fraction form
    469.32/704.10 = 180.78/x
  3. Step 3: Cross multiply
    469.32x = 704.10 × 180.78
  4. Step 4: Simplify right side
    469.32x = 127,287.20
  5. Step 5: Solve for x
    x = 127,287.20/469.32
  6. Step 6: Final answer
    x = 271.22

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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.