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Finding the Fourth Proportional to 293.60, 439.28 and 257.12

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Solution

The fourth proportional to 293.60, 439.28 and 257.12 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.60 : 439.28 = 257.12 : x
  2. Step 2: Convert to fraction form
    293.60/439.28 = 257.12/x
  3. Step 3: Cross multiply
    293.60x = 439.28 × 257.12
  4. Step 4: Simplify right side
    293.60x = 112,947.67
  5. Step 5: Solve for x
    x = 112,947.67/293.60
  6. Step 6: Final answer
    x = 384.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.