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Finding the Fourth Proportional to 530.44, 731.89 and 309.26

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Solution

The fourth proportional to 530.44, 731.89 and 309.26 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.44 : 731.89 = 309.26 : x
  2. Step 2: Convert to fraction form
    530.44/731.89 = 309.26/x
  3. Step 3: Cross multiply
    530.44x = 731.89 × 309.26
  4. Step 4: Simplify right side
    530.44x = 226,344.30
  5. Step 5: Solve for x
    x = 226,344.30/530.44
  6. Step 6: Final answer
    x = 426.71

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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.