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Finding the Fourth Proportional to 412.02, 618.26 and 291.29

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Solution

The fourth proportional to 412.02, 618.26 and 291.29 is: 437.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.02 : 618.26 = 291.29 : x
  2. Step 2: Convert to fraction form
    412.02/618.26 = 291.29/x
  3. Step 3: Cross multiply
    412.02x = 618.26 × 291.29
  4. Step 4: Simplify right side
    412.02x = 180,088.41
  5. Step 5: Solve for x
    x = 180,088.41/412.02
  6. Step 6: Final answer
    x = 437.09

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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.