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Finding the Fourth Proportional to 717.66, 990 and 468.90

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Solution

The fourth proportional to 717.66, 990 and 468.90 is: 646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.66 : 990 = 468.90 : x
  2. Step 2: Convert to fraction form
    717.66/990 = 468.90/x
  3. Step 3: Cross multiply
    717.66x = 990 × 468.90
  4. Step 4: Simplify right side
    717.66x = 464,211
  5. Step 5: Solve for x
    x = 464,211/717.66
  6. Step 6: Final answer
    x = 646.84

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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.