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Finding the Fourth Proportional to 467.50, 645.18 and 309.86

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Solution

The fourth proportional to 467.50, 645.18 and 309.86 is: 427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.50 : 645.18 = 309.86 : x
  2. Step 2: Convert to fraction form
    467.50/645.18 = 309.86/x
  3. Step 3: Cross multiply
    467.50x = 645.18 × 309.86
  4. Step 4: Simplify right side
    467.50x = 199,913.09
  5. Step 5: Solve for x
    x = 199,913.09/467.50
  6. Step 6: Final answer
    x = 427.62

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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.