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Finding the Fourth Proportional to 297.67, 446.47 and 78.32

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Solution

The fourth proportional to 297.67, 446.47 and 78.32 is: 117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.67 : 446.47 = 78.32 : x
  2. Step 2: Convert to fraction form
    297.67/446.47 = 78.32/x
  3. Step 3: Cross multiply
    297.67x = 446.47 × 78.32
  4. Step 4: Simplify right side
    297.67x = 34,965.25
  5. Step 5: Solve for x
    x = 34,965.25/297.67
  6. Step 6: Final answer
    x = 117.46

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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.