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Finding the Fourth Proportional to 473.91, 710.97 and 165.79

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Solution

The fourth proportional to 473.91, 710.97 and 165.79 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.91 : 710.97 = 165.79 : x
  2. Step 2: Convert to fraction form
    473.91/710.97 = 165.79/x
  3. Step 3: Cross multiply
    473.91x = 710.97 × 165.79
  4. Step 4: Simplify right side
    473.91x = 117,871.72
  5. Step 5: Solve for x
    x = 117,871.72/473.91
  6. Step 6: Final answer
    x = 248.72

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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.