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Finding the Fourth Proportional to 320.24, 442.10 and 246.69

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Solution

The fourth proportional to 320.24, 442.10 and 246.69 is: 340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.24 : 442.10 = 246.69 : x
  2. Step 2: Convert to fraction form
    320.24/442.10 = 246.69/x
  3. Step 3: Cross multiply
    320.24x = 442.10 × 246.69
  4. Step 4: Simplify right side
    320.24x = 109,062.27
  5. Step 5: Solve for x
    x = 109,062.27/320.24
  6. Step 6: Final answer
    x = 340.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.