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Finding the Fourth Proportional to 530.82, 732.15 and 309.56

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Solution

The fourth proportional to 530.82, 732.15 and 309.56 is: 426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.82 : 732.15 = 309.56 : x
  2. Step 2: Convert to fraction form
    530.82/732.15 = 309.56/x
  3. Step 3: Cross multiply
    530.82x = 732.15 × 309.56
  4. Step 4: Simplify right side
    530.82x = 226,640.69
  5. Step 5: Solve for x
    x = 226,640.69/530.82
  6. Step 6: Final answer
    x = 426.96

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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.