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Finding the Fourth Proportional to 350.68, 524.90 and 233.31

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Solution

The fourth proportional to 350.68, 524.90 and 233.31 is: 349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.68 : 524.90 = 233.31 : x
  2. Step 2: Convert to fraction form
    350.68/524.90 = 233.31/x
  3. Step 3: Cross multiply
    350.68x = 524.90 × 233.31
  4. Step 4: Simplify right side
    350.68x = 122,464.42
  5. Step 5: Solve for x
    x = 122,464.42/350.68
  6. Step 6: Final answer
    x = 349.22

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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.