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Finding the Fourth Proportional to 410.37, 611.98 and 382.70

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Solution

The fourth proportional to 410.37, 611.98 and 382.70 is: 570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.37 : 611.98 = 382.70 : x
  2. Step 2: Convert to fraction form
    410.37/611.98 = 382.70/x
  3. Step 3: Cross multiply
    410.37x = 611.98 × 382.70
  4. Step 4: Simplify right side
    410.37x = 234,204.67
  5. Step 5: Solve for x
    x = 234,204.67/410.37
  6. Step 6: Final answer
    x = 570.72

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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.