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Finding the Fourth Proportional to 426.58, 588.50 and 260.80

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Solution

The fourth proportional to 426.58, 588.50 and 260.80 is: 359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.58 : 588.50 = 260.80 : x
  2. Step 2: Convert to fraction form
    426.58/588.50 = 260.80/x
  3. Step 3: Cross multiply
    426.58x = 588.50 × 260.80
  4. Step 4: Simplify right side
    426.58x = 153,479.50
  5. Step 5: Solve for x
    x = 153,479.50/426.58
  6. Step 6: Final answer
    x = 359.79

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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.