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Finding the Fourth Proportional to 514.13, 709.45 and 293.02

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Solution

The fourth proportional to 514.13, 709.45 and 293.02 is: 404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.13 : 709.45 = 293.02 : x
  2. Step 2: Convert to fraction form
    514.13/709.45 = 293.02/x
  3. Step 3: Cross multiply
    514.13x = 709.45 × 293.02
  4. Step 4: Simplify right side
    514.13x = 207,880.53
  5. Step 5: Solve for x
    x = 207,880.53/514.13
  6. Step 6: Final answer
    x = 404.34

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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.