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Finding the Fourth Proportional to 514.33, 709.82 and 425.79

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Solution

The fourth proportional to 514.33, 709.82 and 425.79 is: 587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.33 : 709.82 = 425.79 : x
  2. Step 2: Convert to fraction form
    514.33/709.82 = 425.79/x
  3. Step 3: Cross multiply
    514.33x = 709.82 × 425.79
  4. Step 4: Simplify right side
    514.33x = 302,234.26
  5. Step 5: Solve for x
    x = 302,234.26/514.33
  6. Step 6: Final answer
    x = 587.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.