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Finding the Fourth Proportional to 717.54, 989.94 and 418.65

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Solution

The fourth proportional to 717.54, 989.94 and 418.65 is: 577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.54 : 989.94 = 418.65 : x
  2. Step 2: Convert to fraction form
    717.54/989.94 = 418.65/x
  3. Step 3: Cross multiply
    717.54x = 989.94 × 418.65
  4. Step 4: Simplify right side
    717.54x = 414,438.38
  5. Step 5: Solve for x
    x = 414,438.38/717.54
  6. Step 6: Final answer
    x = 577.58

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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.