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Finding the Fourth Proportional to 393.34, 588.78 and 283.46

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Solution

The fourth proportional to 393.34, 588.78 and 283.46 is: 424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.34 : 588.78 = 283.46 : x
  2. Step 2: Convert to fraction form
    393.34/588.78 = 283.46/x
  3. Step 3: Cross multiply
    393.34x = 588.78 × 283.46
  4. Step 4: Simplify right side
    393.34x = 166,895.58
  5. Step 5: Solve for x
    x = 166,895.58/393.34
  6. Step 6: Final answer
    x = 424.30

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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.