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Finding the Fourth Proportional to 463.16, 693.66 and 367.04

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Solution

The fourth proportional to 463.16, 693.66 and 367.04 is: 549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.16 : 693.66 = 367.04 : x
  2. Step 2: Convert to fraction form
    463.16/693.66 = 367.04/x
  3. Step 3: Cross multiply
    463.16x = 693.66 × 367.04
  4. Step 4: Simplify right side
    463.16x = 254,600.97
  5. Step 5: Solve for x
    x = 254,600.97/463.16
  6. Step 6: Final answer
    x = 549.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.