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Finding the Fourth Proportional to 618.41, 927.64 and 465.17

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Solution

The fourth proportional to 618.41, 927.64 and 465.17 is: 697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.41 : 927.64 = 465.17 : x
  2. Step 2: Convert to fraction form
    618.41/927.64 = 465.17/x
  3. Step 3: Cross multiply
    618.41x = 927.64 × 465.17
  4. Step 4: Simplify right side
    618.41x = 431,505.66
  5. Step 5: Solve for x
    x = 431,505.66/618.41
  6. Step 6: Final answer
    x = 697.77

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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.