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Finding the Fourth Proportional to 514.12, 708.26 and 425.23

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Solution

The fourth proportional to 514.12, 708.26 and 425.23 is: 585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.12 : 708.26 = 425.23 : x
  2. Step 2: Convert to fraction form
    514.12/708.26 = 425.23/x
  3. Step 3: Cross multiply
    514.12x = 708.26 × 425.23
  4. Step 4: Simplify right side
    514.12x = 301,171.27
  5. Step 5: Solve for x
    x = 301,171.27/514.12
  6. Step 6: Final answer
    x = 585.80

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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.