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Finding the Fourth Proportional to 412.20, 615.06 and 402.89

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Solution

The fourth proportional to 412.20, 615.06 and 402.89 is: 601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.20 : 615.06 = 402.89 : x
  2. Step 2: Convert to fraction form
    412.20/615.06 = 402.89/x
  3. Step 3: Cross multiply
    412.20x = 615.06 × 402.89
  4. Step 4: Simplify right side
    412.20x = 247,798.45
  5. Step 5: Solve for x
    x = 247,798.45/412.20
  6. Step 6: Final answer
    x = 601.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.