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Finding the Fourth Proportional to 392.77, 588.97 and 283.02

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Solution

The fourth proportional to 392.77, 588.97 and 283.02 is: 424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.77 : 588.97 = 283.02 : x
  2. Step 2: Convert to fraction form
    392.77/588.97 = 283.02/x
  3. Step 3: Cross multiply
    392.77x = 588.97 × 283.02
  4. Step 4: Simplify right side
    392.77x = 166,690.29
  5. Step 5: Solve for x
    x = 166,690.29/392.77
  6. Step 6: Final answer
    x = 424.40

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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.