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Finding the Fourth Proportional to 412.40, 570.57 and 360.80

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Solution

The fourth proportional to 412.40, 570.57 and 360.80 is: 499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.40 : 570.57 = 360.80 : x
  2. Step 2: Convert to fraction form
    412.40/570.57 = 360.80/x
  3. Step 3: Cross multiply
    412.40x = 570.57 × 360.80
  4. Step 4: Simplify right side
    412.40x = 205,861.66
  5. Step 5: Solve for x
    x = 205,861.66/412.40
  6. Step 6: Final answer
    x = 499.18

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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.