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Finding the Fourth Proportional to 412.44, 568.80 and 369.24

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Solution

The fourth proportional to 412.44, 568.80 and 369.24 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.44 : 568.80 = 369.24 : x
  2. Step 2: Convert to fraction form
    412.44/568.80 = 369.24/x
  3. Step 3: Cross multiply
    412.44x = 568.80 × 369.24
  4. Step 4: Simplify right side
    412.44x = 210,023.71
  5. Step 5: Solve for x
    x = 210,023.71/412.44
  6. Step 6: Final answer
    x = 509.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.