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Finding the Fourth Proportional to 319.24, 475.56 and 299.32

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Solution

The fourth proportional to 319.24, 475.56 and 299.32 is: 445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 475.56 = 299.32 : x
  2. Step 2: Convert to fraction form
    319.24/475.56 = 299.32/x
  3. Step 3: Cross multiply
    319.24x = 475.56 × 299.32
  4. Step 4: Simplify right side
    319.24x = 142,344.62
  5. Step 5: Solve for x
    x = 142,344.62/319.24
  6. Step 6: Final answer
    x = 445.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.