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Finding the Fourth Proportional to 717.44, 989.87 and 433.79

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Solution

The fourth proportional to 717.44, 989.87 and 433.79 is: 598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.44 : 989.87 = 433.79 : x
  2. Step 2: Convert to fraction form
    717.44/989.87 = 433.79/x
  3. Step 3: Cross multiply
    717.44x = 989.87 × 433.79
  4. Step 4: Simplify right side
    717.44x = 429,395.71
  5. Step 5: Solve for x
    x = 429,395.71/717.44
  6. Step 6: Final answer
    x = 598.51

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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.