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Finding the Fourth Proportional to 412.62, 568.47 and 385.74

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Solution

The fourth proportional to 412.62, 568.47 and 385.74 is: 531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.62 : 568.47 = 385.74 : x
  2. Step 2: Convert to fraction form
    412.62/568.47 = 385.74/x
  3. Step 3: Cross multiply
    412.62x = 568.47 × 385.74
  4. Step 4: Simplify right side
    412.62x = 219,281.62
  5. Step 5: Solve for x
    x = 219,281.62/412.62
  6. Step 6: Final answer
    x = 531.44

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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.