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Finding the Fourth Proportional to 514.19, 709.61 and 293.15

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Solution

The fourth proportional to 514.19, 709.61 and 293.15 is: 404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.19 : 709.61 = 293.15 : x
  2. Step 2: Convert to fraction form
    514.19/709.61 = 293.15/x
  3. Step 3: Cross multiply
    514.19x = 709.61 × 293.15
  4. Step 4: Simplify right side
    514.19x = 208,020.71
  5. Step 5: Solve for x
    x = 208,020.71/514.19
  6. Step 6: Final answer
    x = 404.56

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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.