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Finding the Fourth Proportional to 312.32, 467.76 and 239.60

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Solution

The fourth proportional to 312.32, 467.76 and 239.60 is: 358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.32 : 467.76 = 239.60 : x
  2. Step 2: Convert to fraction form
    312.32/467.76 = 239.60/x
  3. Step 3: Cross multiply
    312.32x = 467.76 × 239.60
  4. Step 4: Simplify right side
    312.32x = 112,075.30
  5. Step 5: Solve for x
    x = 112,075.30/312.32
  6. Step 6: Final answer
    x = 358.85

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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.