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Finding the Fourth Proportional to 372.64, 513.21 and 333.13

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Solution

The fourth proportional to 372.64, 513.21 and 333.13 is: 458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.64 : 513.21 = 333.13 : x
  2. Step 2: Convert to fraction form
    372.64/513.21 = 333.13/x
  3. Step 3: Cross multiply
    372.64x = 513.21 × 333.13
  4. Step 4: Simplify right side
    372.64x = 170,965.65
  5. Step 5: Solve for x
    x = 170,965.65/372.64
  6. Step 6: Final answer
    x = 458.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.