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Finding the Fourth Proportional to 469.49, 704.49 and 177.19

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Solution

The fourth proportional to 469.49, 704.49 and 177.19 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.49 : 704.49 = 177.19 : x
  2. Step 2: Convert to fraction form
    469.49/704.49 = 177.19/x
  3. Step 3: Cross multiply
    469.49x = 704.49 × 177.19
  4. Step 4: Simplify right side
    469.49x = 124,828.58
  5. Step 5: Solve for x
    x = 124,828.58/469.49
  6. Step 6: Final answer
    x = 265.88

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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.