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Finding the Fourth Proportional to 343.19, 513.59 and 280.77

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Solution

The fourth proportional to 343.19, 513.59 and 280.77 is: 420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.19 : 513.59 = 280.77 : x
  2. Step 2: Convert to fraction form
    343.19/513.59 = 280.77/x
  3. Step 3: Cross multiply
    343.19x = 513.59 × 280.77
  4. Step 4: Simplify right side
    343.19x = 144,201.80
  5. Step 5: Solve for x
    x = 144,201.80/343.19
  6. Step 6: Final answer
    x = 420.18

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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.