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Finding the Fourth Proportional to 717.82, 990.57 and 403.09

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Solution

The fourth proportional to 717.82, 990.57 and 403.09 is: 556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.82 : 990.57 = 403.09 : x
  2. Step 2: Convert to fraction form
    717.82/990.57 = 403.09/x
  3. Step 3: Cross multiply
    717.82x = 990.57 × 403.09
  4. Step 4: Simplify right side
    717.82x = 399,283.91
  5. Step 5: Solve for x
    x = 399,283.91/717.82
  6. Step 6: Final answer
    x = 556.25

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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.