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Finding the Fourth Proportional to 412.04, 568.10 and 356.04

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Solution

The fourth proportional to 412.04, 568.10 and 356.04 is: 490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.04 : 568.10 = 356.04 : x
  2. Step 2: Convert to fraction form
    412.04/568.10 = 356.04/x
  3. Step 3: Cross multiply
    412.04x = 568.10 × 356.04
  4. Step 4: Simplify right side
    412.04x = 202,266.32
  5. Step 5: Solve for x
    x = 202,266.32/412.04
  6. Step 6: Final answer
    x = 490.89

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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.