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Finding the Fourth Proportional to 514.12, 708.30 and 426.52

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Solution

The fourth proportional to 514.12, 708.30 and 426.52 is: 587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.12 : 708.30 = 426.52 : x
  2. Step 2: Convert to fraction form
    514.12/708.30 = 426.52/x
  3. Step 3: Cross multiply
    514.12x = 708.30 × 426.52
  4. Step 4: Simplify right side
    514.12x = 302,104.12
  5. Step 5: Solve for x
    x = 302,104.12/514.12
  6. Step 6: Final answer
    x = 587.61

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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.