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Finding the Fourth Proportional to 473.61, 710.36 and 165.44

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Solution

The fourth proportional to 473.61, 710.36 and 165.44 is: 248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.61 : 710.36 = 165.44 : x
  2. Step 2: Convert to fraction form
    473.61/710.36 = 165.44/x
  3. Step 3: Cross multiply
    473.61x = 710.36 × 165.44
  4. Step 4: Simplify right side
    473.61x = 117,520.86
  5. Step 5: Solve for x
    x = 117,520.86/473.61
  6. Step 6: Final answer
    x = 248.14

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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.