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Finding the Fourth Proportional to 660.02, 990.01 and 227.17

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Solution

The fourth proportional to 660.02, 990.01 and 227.17 is: 340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.02 : 990.01 = 227.17 : x
  2. Step 2: Convert to fraction form
    660.02/990.01 = 227.17/x
  3. Step 3: Cross multiply
    660.02x = 990.01 × 227.17
  4. Step 4: Simplify right side
    660.02x = 224,897.53
  5. Step 5: Solve for x
    x = 224,897.53/660.02
  6. Step 6: Final answer
    x = 340.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.