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Finding the Fourth Proportional to 530.44, 731.96 and 309.40

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Solution

The fourth proportional to 530.44, 731.96 and 309.40 is: 426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.44 : 731.96 = 309.40 : x
  2. Step 2: Convert to fraction form
    530.44/731.96 = 309.40/x
  3. Step 3: Cross multiply
    530.44x = 731.96 × 309.40
  4. Step 4: Simplify right side
    530.44x = 226,468.42
  5. Step 5: Solve for x
    x = 226,468.42/530.44
  6. Step 6: Final answer
    x = 426.94

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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.