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Finding the Fourth Proportional to 350.74, 524.61 and 314.44

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Solution

The fourth proportional to 350.74, 524.61 and 314.44 is: 470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.74 : 524.61 = 314.44 : x
  2. Step 2: Convert to fraction form
    350.74/524.61 = 314.44/x
  3. Step 3: Cross multiply
    350.74x = 524.61 × 314.44
  4. Step 4: Simplify right side
    350.74x = 164,958.37
  5. Step 5: Solve for x
    x = 164,958.37/350.74
  6. Step 6: Final answer
    x = 470.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.