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Finding the Fourth Proportional to 393.34, 588.33 and 283.90

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Solution

The fourth proportional to 393.34, 588.33 and 283.90 is: 424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.34 : 588.33 = 283.90 : x
  2. Step 2: Convert to fraction form
    393.34/588.33 = 283.90/x
  3. Step 3: Cross multiply
    393.34x = 588.33 × 283.90
  4. Step 4: Simplify right side
    393.34x = 167,026.89
  5. Step 5: Solve for x
    x = 167,026.89/393.34
  6. Step 6: Final answer
    x = 424.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.