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Finding the Fourth Proportional to 344.84, 516.38 and 284.72

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Solution

The fourth proportional to 344.84, 516.38 and 284.72 is: 426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.84 : 516.38 = 284.72 : x
  2. Step 2: Convert to fraction form
    344.84/516.38 = 284.72/x
  3. Step 3: Cross multiply
    344.84x = 516.38 × 284.72
  4. Step 4: Simplify right side
    344.84x = 147,023.71
  5. Step 5: Solve for x
    x = 147,023.71/344.84
  6. Step 6: Final answer
    x = 426.35

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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.