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Finding the Fourth Proportional to 426.18, 588.36 and 294.09

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Solution

The fourth proportional to 426.18, 588.36 and 294.09 is: 406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.18 : 588.36 = 294.09 : x
  2. Step 2: Convert to fraction form
    426.18/588.36 = 294.09/x
  3. Step 3: Cross multiply
    426.18x = 588.36 × 294.09
  4. Step 4: Simplify right side
    426.18x = 173,030.79
  5. Step 5: Solve for x
    x = 173,030.79/426.18
  6. Step 6: Final answer
    x = 406.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.