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Finding the Fourth Proportional to 717.58, 990.04 and 422.74

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Solution

The fourth proportional to 717.58, 990.04 and 422.74 is: 583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.58 : 990.04 = 422.74 : x
  2. Step 2: Convert to fraction form
    717.58/990.04 = 422.74/x
  3. Step 3: Cross multiply
    717.58x = 990.04 × 422.74
  4. Step 4: Simplify right side
    717.58x = 418,529.51
  5. Step 5: Solve for x
    x = 418,529.51/717.58
  6. Step 6: Final answer
    x = 583.25

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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.