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Finding the Fourth Proportional to 333.52, 499.60 and 293.42

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Solution

The fourth proportional to 333.52, 499.60 and 293.42 is: 439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.52 : 499.60 = 293.42 : x
  2. Step 2: Convert to fraction form
    333.52/499.60 = 293.42/x
  3. Step 3: Cross multiply
    333.52x = 499.60 × 293.42
  4. Step 4: Simplify right side
    333.52x = 146,594.25
  5. Step 5: Solve for x
    x = 146,594.25/333.52
  6. Step 6: Final answer
    x = 439.54

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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.