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Finding the Fourth Proportional to 514.73, 710.27 and 293.62

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Solution

The fourth proportional to 514.73, 710.27 and 293.62 is: 405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.73 : 710.27 = 293.62 : x
  2. Step 2: Convert to fraction form
    514.73/710.27 = 293.62/x
  3. Step 3: Cross multiply
    514.73x = 710.27 × 293.62
  4. Step 4: Simplify right side
    514.73x = 208,546.97
  5. Step 5: Solve for x
    x = 208,546.97/514.73
  6. Step 6: Final answer
    x = 405.16

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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.