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Finding the Fourth Proportional to 473.29, 710.01 and 165.06

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Solution

The fourth proportional to 473.29, 710.01 and 165.06 is: 247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.29 : 710.01 = 165.06 : x
  2. Step 2: Convert to fraction form
    473.29/710.01 = 165.06/x
  3. Step 3: Cross multiply
    473.29x = 710.01 × 165.06
  4. Step 4: Simplify right side
    473.29x = 117,194.25
  5. Step 5: Solve for x
    x = 117,194.25/473.29
  6. Step 6: Final answer
    x = 247.62

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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.