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Finding the Fourth Proportional to 397.19, 596.15 and 214.72

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Solution

The fourth proportional to 397.19, 596.15 and 214.72 is: 322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.19 : 596.15 = 214.72 : x
  2. Step 2: Convert to fraction form
    397.19/596.15 = 214.72/x
  3. Step 3: Cross multiply
    397.19x = 596.15 × 214.72
  4. Step 4: Simplify right side
    397.19x = 128,006.82
  5. Step 5: Solve for x
    x = 128,006.82/397.19
  6. Step 6: Final answer
    x = 322.29

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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.