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Finding the Fourth Proportional to 412.84, 618.72 and 266.55

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Solution

The fourth proportional to 412.84, 618.72 and 266.55 is: 399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 618.72 = 266.55 : x
  2. Step 2: Convert to fraction form
    412.84/618.72 = 266.55/x
  3. Step 3: Cross multiply
    412.84x = 618.72 × 266.55
  4. Step 4: Simplify right side
    412.84x = 164,919.82
  5. Step 5: Solve for x
    x = 164,919.82/412.84
  6. Step 6: Final answer
    x = 399.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.