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Finding the Fourth Proportional to 467.75, 645.51 and 310.10

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Solution

The fourth proportional to 467.75, 645.51 and 310.10 is: 427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.75 : 645.51 = 310.10 : x
  2. Step 2: Convert to fraction form
    467.75/645.51 = 310.10/x
  3. Step 3: Cross multiply
    467.75x = 645.51 × 310.10
  4. Step 4: Simplify right side
    467.75x = 200,169.42
  5. Step 5: Solve for x
    x = 200,169.42/467.75
  6. Step 6: Final answer
    x = 427.95

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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.