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Finding the Fourth Proportional to 514.31, 709.71 and 293.22

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Solution

The fourth proportional to 514.31, 709.71 and 293.22 is: 404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.31 : 709.71 = 293.22 : x
  2. Step 2: Convert to fraction form
    514.31/709.71 = 293.22/x
  3. Step 3: Cross multiply
    514.31x = 709.71 × 293.22
  4. Step 4: Simplify right side
    514.31x = 208,101.17
  5. Step 5: Solve for x
    x = 208,101.17/514.31
  6. Step 6: Final answer
    x = 404.63

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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.