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Finding the Fourth Proportional to 380.85, 570.49 and 283.45

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Solution

The fourth proportional to 380.85, 570.49 and 283.45 is: 424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.85 : 570.49 = 283.45 : x
  2. Step 2: Convert to fraction form
    380.85/570.49 = 283.45/x
  3. Step 3: Cross multiply
    380.85x = 570.49 × 283.45
  4. Step 4: Simplify right side
    380.85x = 161,705.39
  5. Step 5: Solve for x
    x = 161,705.39/380.85
  6. Step 6: Final answer
    x = 424.59

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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.