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Finding the Fourth Proportional to 514.97, 710.67 and 293.88

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Solution

The fourth proportional to 514.97, 710.67 and 293.88 is: 405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.97 : 710.67 = 293.88 : x
  2. Step 2: Convert to fraction form
    514.97/710.67 = 293.88/x
  3. Step 3: Cross multiply
    514.97x = 710.67 × 293.88
  4. Step 4: Simplify right side
    514.97x = 208,850.23
  5. Step 5: Solve for x
    x = 208,850.23/514.97
  6. Step 6: Final answer
    x = 405.56

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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.