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Finding the Fourth Proportional to 426.46, 588.50 and 260.66

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Solution

The fourth proportional to 426.46, 588.50 and 260.66 is: 359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.46 : 588.50 = 260.66 : x
  2. Step 2: Convert to fraction form
    426.46/588.50 = 260.66/x
  3. Step 3: Cross multiply
    426.46x = 588.50 × 260.66
  4. Step 4: Simplify right side
    426.46x = 153,398.41
  5. Step 5: Solve for x
    x = 153,398.41/426.46
  6. Step 6: Final answer
    x = 359.70

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