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Finding the Fourth Proportional to 530.26, 794.98 and 252.47

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Solution

The fourth proportional to 530.26, 794.98 and 252.47 is: 378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.26 : 794.98 = 252.47 : x
  2. Step 2: Convert to fraction form
    530.26/794.98 = 252.47/x
  3. Step 3: Cross multiply
    530.26x = 794.98 × 252.47
  4. Step 4: Simplify right side
    530.26x = 200,711.20
  5. Step 5: Solve for x
    x = 200,711.20/530.26
  6. Step 6: Final answer
    x = 378.51

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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.