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Finding the Fourth Proportional to 467.30, 645.19 and 310.02

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Solution

The fourth proportional to 467.30, 645.19 and 310.02 is: 428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.30 : 645.19 = 310.02 : x
  2. Step 2: Convert to fraction form
    467.30/645.19 = 310.02/x
  3. Step 3: Cross multiply
    467.30x = 645.19 × 310.02
  4. Step 4: Simplify right side
    467.30x = 200,021.80
  5. Step 5: Solve for x
    x = 200,021.80/467.30
  6. Step 6: Final answer
    x = 428.04

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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.