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Finding the Fourth Proportional to 514.71, 710.31 and 293.79

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Solution

The fourth proportional to 514.71, 710.31 and 293.79 is: 405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.71 : 710.31 = 293.79 : x
  2. Step 2: Convert to fraction form
    514.71/710.31 = 293.79/x
  3. Step 3: Cross multiply
    514.71x = 710.31 × 293.79
  4. Step 4: Simplify right side
    514.71x = 208,682.46
  5. Step 5: Solve for x
    x = 208,682.46/514.71
  6. Step 6: Final answer
    x = 405.43

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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.