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Finding the Fourth Proportional to 517.76, 715.20 and 493.46

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Solution

The fourth proportional to 517.76, 715.20 and 493.46 is: 681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.76 : 715.20 = 493.46 : x
  2. Step 2: Convert to fraction form
    517.76/715.20 = 493.46/x
  3. Step 3: Cross multiply
    517.76x = 715.20 × 493.46
  4. Step 4: Simplify right side
    517.76x = 352,922.59
  5. Step 5: Solve for x
    x = 352,922.59/517.76
  6. Step 6: Final answer
    x = 681.63

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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.