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Finding the Fourth Proportional to 304.32, 455.76 and 239.76

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Solution

The fourth proportional to 304.32, 455.76 and 239.76 is: 359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.32 : 455.76 = 239.76 : x
  2. Step 2: Convert to fraction form
    304.32/455.76 = 239.76/x
  3. Step 3: Cross multiply
    304.32x = 455.76 × 239.76
  4. Step 4: Simplify right side
    304.32x = 109,273.02
  5. Step 5: Solve for x
    x = 109,273.02/304.32
  6. Step 6: Final answer
    x = 359.07

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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.