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Finding the Fourth Proportional to 379.32, 566.24 and 324.24

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Solution

The fourth proportional to 379.32, 566.24 and 324.24 is: 484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.32 : 566.24 = 324.24 : x
  2. Step 2: Convert to fraction form
    379.32/566.24 = 324.24/x
  3. Step 3: Cross multiply
    379.32x = 566.24 × 324.24
  4. Step 4: Simplify right side
    379.32x = 183,597.66
  5. Step 5: Solve for x
    x = 183,597.66/379.32
  6. Step 6: Final answer
    x = 484.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.