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Finding the Fourth Proportional to 514.37, 709.85 and 293.39

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Solution

The fourth proportional to 514.37, 709.85 and 293.39 is: 404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.37 : 709.85 = 293.39 : x
  2. Step 2: Convert to fraction form
    514.37/709.85 = 293.39/x
  3. Step 3: Cross multiply
    514.37x = 709.85 × 293.39
  4. Step 4: Simplify right side
    514.37x = 208,259.34
  5. Step 5: Solve for x
    x = 208,259.34/514.37
  6. Step 6: Final answer
    x = 404.89

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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.