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Finding the Fourth Proportional to 473.15, 709.85 and 165.01

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Solution

The fourth proportional to 473.15, 709.85 and 165.01 is: 247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.15 : 709.85 = 165.01 : x
  2. Step 2: Convert to fraction form
    473.15/709.85 = 165.01/x
  3. Step 3: Cross multiply
    473.15x = 709.85 × 165.01
  4. Step 4: Simplify right side
    473.15x = 117,131.39
  5. Step 5: Solve for x
    x = 117,131.39/473.15
  6. Step 6: Final answer
    x = 247.56

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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.