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Finding the Fourth Proportional to 343.58, 513.54 and 282.83

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Solution

The fourth proportional to 343.58, 513.54 and 282.83 is: 422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.58 : 513.54 = 282.83 : x
  2. Step 2: Convert to fraction form
    343.58/513.54 = 282.83/x
  3. Step 3: Cross multiply
    343.58x = 513.54 × 282.83
  4. Step 4: Simplify right side
    343.58x = 145,241.95
  5. Step 5: Solve for x
    x = 145,241.95/343.58
  6. Step 6: Final answer
    x = 422.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.