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Finding the Fourth Proportional to 412.49, 568.08 and 381.71

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Solution

The fourth proportional to 412.49, 568.08 and 381.71 is: 525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 568.08 = 381.71 : x
  2. Step 2: Convert to fraction form
    412.49/568.08 = 381.71/x
  3. Step 3: Cross multiply
    412.49x = 568.08 × 381.71
  4. Step 4: Simplify right side
    412.49x = 216,841.82
  5. Step 5: Solve for x
    x = 216,841.82/412.49
  6. Step 6: Final answer
    x = 525.69

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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.