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Finding the Fourth Proportional to 716.24, 988.44 and 405.76

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Solution

The fourth proportional to 716.24, 988.44 and 405.76 is: 559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.24 : 988.44 = 405.76 : x
  2. Step 2: Convert to fraction form
    716.24/988.44 = 405.76/x
  3. Step 3: Cross multiply
    716.24x = 988.44 × 405.76
  4. Step 4: Simplify right side
    716.24x = 401,069.41
  5. Step 5: Solve for x
    x = 401,069.41/716.24
  6. Step 6: Final answer
    x = 559.97

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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.