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Finding the Fourth Proportional to 412.35, 568.74 and 265.15

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Solution

The fourth proportional to 412.35, 568.74 and 265.15 is: 365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.35 : 568.74 = 265.15 : x
  2. Step 2: Convert to fraction form
    412.35/568.74 = 265.15/x
  3. Step 3: Cross multiply
    412.35x = 568.74 × 265.15
  4. Step 4: Simplify right side
    412.35x = 150,801.41
  5. Step 5: Solve for x
    x = 150,801.41/412.35
  6. Step 6: Final answer
    x = 365.72

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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.