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Finding the Fourth Proportional to 717.44, 990.07 and 406.94

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Solution

The fourth proportional to 717.44, 990.07 and 406.94 is: 561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.44 : 990.07 = 406.94 : x
  2. Step 2: Convert to fraction form
    717.44/990.07 = 406.94/x
  3. Step 3: Cross multiply
    717.44x = 990.07 × 406.94
  4. Step 4: Simplify right side
    717.44x = 402,894.58
  5. Step 5: Solve for x
    x = 402,894.58/717.44
  6. Step 6: Final answer
    x = 561.57

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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.