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Finding the Fourth Proportional to 469.76, 704.82 and 177.24

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Solution

The fourth proportional to 469.76, 704.82 and 177.24 is: 265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 704.82 = 177.24 : x
  2. Step 2: Convert to fraction form
    469.76/704.82 = 177.24/x
  3. Step 3: Cross multiply
    469.76x = 704.82 × 177.24
  4. Step 4: Simplify right side
    469.76x = 124,922.30
  5. Step 5: Solve for x
    x = 124,922.30/469.76
  6. Step 6: Final answer
    x = 265.93

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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.