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Finding the Fourth Proportional to 717.94, 990.76 and 407.44

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Solution

The fourth proportional to 717.94, 990.76 and 407.44 is: 562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.94 : 990.76 = 407.44 : x
  2. Step 2: Convert to fraction form
    717.94/990.76 = 407.44/x
  3. Step 3: Cross multiply
    717.94x = 990.76 × 407.44
  4. Step 4: Simplify right side
    717.94x = 403,671.76
  5. Step 5: Solve for x
    x = 403,671.76/717.94
  6. Step 6: Final answer
    x = 562.27

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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.