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Finding the Fourth Proportional to 343.91, 513.07 and 282.86

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Solution

The fourth proportional to 343.91, 513.07 and 282.86 is: 421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.91 : 513.07 = 282.86 : x
  2. Step 2: Convert to fraction form
    343.91/513.07 = 282.86/x
  3. Step 3: Cross multiply
    343.91x = 513.07 × 282.86
  4. Step 4: Simplify right side
    343.91x = 145,125.63
  5. Step 5: Solve for x
    x = 145,125.63/343.91
  6. Step 6: Final answer
    x = 421.98

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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.