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Finding the Fourth Proportional to 469.85, 704.29 and 177.15

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Solution

The fourth proportional to 469.85, 704.29 and 177.15 is: 265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.85 : 704.29 = 177.15 : x
  2. Step 2: Convert to fraction form
    469.85/704.29 = 177.15/x
  3. Step 3: Cross multiply
    469.85x = 704.29 × 177.15
  4. Step 4: Simplify right side
    469.85x = 124,764.97
  5. Step 5: Solve for x
    x = 124,764.97/469.85
  6. Step 6: Final answer
    x = 265.54

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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.