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Finding the Fourth Proportional to 514.14, 709.56 and 293.10

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Solution

The fourth proportional to 514.14, 709.56 and 293.10 is: 404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.14 : 709.56 = 293.10 : x
  2. Step 2: Convert to fraction form
    514.14/709.56 = 293.10/x
  3. Step 3: Cross multiply
    514.14x = 709.56 × 293.10
  4. Step 4: Simplify right side
    514.14x = 207,972.04
  5. Step 5: Solve for x
    x = 207,972.04/514.14
  6. Step 6: Final answer
    x = 404.50

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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.