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Finding the Fourth Proportional to 717.84, 990.48 and 403.12

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Solution

The fourth proportional to 717.84, 990.48 and 403.12 is: 556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.84 : 990.48 = 403.12 : x
  2. Step 2: Convert to fraction form
    717.84/990.48 = 403.12/x
  3. Step 3: Cross multiply
    717.84x = 990.48 × 403.12
  4. Step 4: Simplify right side
    717.84x = 399,282.30
  5. Step 5: Solve for x
    x = 399,282.30/717.84
  6. Step 6: Final answer
    x = 556.23

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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.