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Finding the Fourth Proportional to 467.30, 645.14 and 310.14

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Solution

The fourth proportional to 467.30, 645.14 and 310.14 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.30 : 645.14 = 310.14 : x
  2. Step 2: Convert to fraction form
    467.30/645.14 = 310.14/x
  3. Step 3: Cross multiply
    467.30x = 645.14 × 310.14
  4. Step 4: Simplify right side
    467.30x = 200,083.72
  5. Step 5: Solve for x
    x = 200,083.72/467.30
  6. Step 6: Final answer
    x = 428.17

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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.