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Finding the Fourth Proportional to 412.32, 619.60 and 303.76

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Solution

The fourth proportional to 412.32, 619.60 and 303.76 is: 456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 619.60 = 303.76 : x
  2. Step 2: Convert to fraction form
    412.32/619.60 = 303.76/x
  3. Step 3: Cross multiply
    412.32x = 619.60 × 303.76
  4. Step 4: Simplify right side
    412.32x = 188,209.70
  5. Step 5: Solve for x
    x = 188,209.70/412.32
  6. Step 6: Final answer
    x = 456.47

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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.