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Finding the Fourth Proportional to 717.94, 990.68 and 469.74

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Solution

The fourth proportional to 717.94, 990.68 and 469.74 is: 648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.94 : 990.68 = 469.74 : x
  2. Step 2: Convert to fraction form
    717.94/990.68 = 469.74/x
  3. Step 3: Cross multiply
    717.94x = 990.68 × 469.74
  4. Step 4: Simplify right side
    717.94x = 465,362.02
  5. Step 5: Solve for x
    x = 465,362.02/717.94
  6. Step 6: Final answer
    x = 648.19

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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.