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Finding the Fourth Proportional to 618.71, 927.07 and 289.28

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Solution

The fourth proportional to 618.71, 927.07 and 289.28 is: 433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.71 : 927.07 = 289.28 : x
  2. Step 2: Convert to fraction form
    618.71/927.07 = 289.28/x
  3. Step 3: Cross multiply
    618.71x = 927.07 × 289.28
  4. Step 4: Simplify right side
    618.71x = 268,184.40
  5. Step 5: Solve for x
    x = 268,184.40/618.71
  6. Step 6: Final answer
    x = 433.46

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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.