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Finding the Fourth Proportional to 473.86, 710.82 and 165.79

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Solution

The fourth proportional to 473.86, 710.82 and 165.79 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.86 : 710.82 = 165.79 : x
  2. Step 2: Convert to fraction form
    473.86/710.82 = 165.79/x
  3. Step 3: Cross multiply
    473.86x = 710.82 × 165.79
  4. Step 4: Simplify right side
    473.86x = 117,846.85
  5. Step 5: Solve for x
    x = 117,846.85/473.86
  6. Step 6: Final answer
    x = 248.70

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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.