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Finding the Fourth Proportional to 397.19, 598.29 and 367.11

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Solution

The fourth proportional to 397.19, 598.29 and 367.11 is: 552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.19 : 598.29 = 367.11 : x
  2. Step 2: Convert to fraction form
    397.19/598.29 = 367.11/x
  3. Step 3: Cross multiply
    397.19x = 598.29 × 367.11
  4. Step 4: Simplify right side
    397.19x = 219,638.24
  5. Step 5: Solve for x
    x = 219,638.24/397.19
  6. Step 6: Final answer
    x = 552.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.