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Finding the Fourth Proportional to 426.86, 589.08 and 279.88

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Solution

The fourth proportional to 426.86, 589.08 and 279.88 is: 386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.86 : 589.08 = 279.88 : x
  2. Step 2: Convert to fraction form
    426.86/589.08 = 279.88/x
  3. Step 3: Cross multiply
    426.86x = 589.08 × 279.88
  4. Step 4: Simplify right side
    426.86x = 164,871.71
  5. Step 5: Solve for x
    x = 164,871.71/426.86
  6. Step 6: Final answer
    x = 386.24

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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.