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Finding the Fourth Proportional to 618.74, 927.84 and 294.08

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Solution

The fourth proportional to 618.74, 927.84 and 294.08 is: 440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.74 : 927.84 = 294.08 : x
  2. Step 2: Convert to fraction form
    618.74/927.84 = 294.08/x
  3. Step 3: Cross multiply
    618.74x = 927.84 × 294.08
  4. Step 4: Simplify right side
    618.74x = 272,859.19
  5. Step 5: Solve for x
    x = 272,859.19/618.74
  6. Step 6: Final answer
    x = 440.99

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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.