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Finding the Fourth Proportional to 514.33, 709.77 and 293.29

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Solution

The fourth proportional to 514.33, 709.77 and 293.29 is: 404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.33 : 709.77 = 293.29 : x
  2. Step 2: Convert to fraction form
    514.33/709.77 = 293.29/x
  3. Step 3: Cross multiply
    514.33x = 709.77 × 293.29
  4. Step 4: Simplify right side
    514.33x = 208,166.67
  5. Step 5: Solve for x
    x = 208,166.67/514.33
  6. Step 6: Final answer
    x = 404.74

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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.