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Finding the Fourth Proportional to 610.30, 913.65 and 538.30

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Solution

The fourth proportional to 610.30, 913.65 and 538.30 is: 805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.30 : 913.65 = 538.30 : x
  2. Step 2: Convert to fraction form
    610.30/913.65 = 538.30/x
  3. Step 3: Cross multiply
    610.30x = 913.65 × 538.30
  4. Step 4: Simplify right side
    610.30x = 491,817.80
  5. Step 5: Solve for x
    x = 491,817.80/610.30
  6. Step 6: Final answer
    x = 805.86

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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.