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Finding the Fourth Proportional to 393.72, 543.51 and 283.74

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Solution

The fourth proportional to 393.72, 543.51 and 283.74 is: 391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.72 : 543.51 = 283.74 : x
  2. Step 2: Convert to fraction form
    393.72/543.51 = 283.74/x
  3. Step 3: Cross multiply
    393.72x = 543.51 × 283.74
  4. Step 4: Simplify right side
    393.72x = 154,215.53
  5. Step 5: Solve for x
    x = 154,215.53/393.72
  6. Step 6: Final answer
    x = 391.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.