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Finding the Fourth Proportional to 690.02, 1,035.13 and 227.71

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Solution

The fourth proportional to 690.02, 1,035.13 and 227.71 is: 341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.02 : 1,035.13 = 227.71 : x
  2. Step 2: Convert to fraction form
    690.02/1,035.13 = 227.71/x
  3. Step 3: Cross multiply
    690.02x = 1,035.13 × 227.71
  4. Step 4: Simplify right side
    690.02x = 235,709.45
  5. Step 5: Solve for x
    x = 235,709.45/690.02
  6. Step 6: Final answer
    x = 341.60

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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.