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Finding the Fourth Proportional to 426.98, 586.67 and 339.50

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Solution

The fourth proportional to 426.98, 586.67 and 339.50 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.98 : 586.67 = 339.50 : x
  2. Step 2: Convert to fraction form
    426.98/586.67 = 339.50/x
  3. Step 3: Cross multiply
    426.98x = 586.67 × 339.50
  4. Step 4: Simplify right side
    426.98x = 199,171.53
  5. Step 5: Solve for x
    x = 199,171.53/426.98
  6. Step 6: Final answer
    x = 466.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.