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Finding the Fourth Proportional to 464.15, 641.09 and 367.19

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Solution

The fourth proportional to 464.15, 641.09 and 367.19 is: 507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.15 : 641.09 = 367.19 : x
  2. Step 2: Convert to fraction form
    464.15/641.09 = 367.19/x
  3. Step 3: Cross multiply
    464.15x = 641.09 × 367.19
  4. Step 4: Simplify right side
    464.15x = 235,401.60
  5. Step 5: Solve for x
    x = 235,401.60/464.15
  6. Step 6: Final answer
    x = 507.16

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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.