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Finding the Fourth Proportional to 464.68, 694.49 and 367.48

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Solution

The fourth proportional to 464.68, 694.49 and 367.48 is: 549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.68 : 694.49 = 367.48 : x
  2. Step 2: Convert to fraction form
    464.68/694.49 = 367.48/x
  3. Step 3: Cross multiply
    464.68x = 694.49 × 367.48
  4. Step 4: Simplify right side
    464.68x = 255,211.19
  5. Step 5: Solve for x
    x = 255,211.19/464.68
  6. Step 6: Final answer
    x = 549.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.