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Finding the Fourth Proportional to 397.83, 549 and 223.14

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Solution

The fourth proportional to 397.83, 549 and 223.14 is: 307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.83 : 549 = 223.14 : x
  2. Step 2: Convert to fraction form
    397.83/549 = 223.14/x
  3. Step 3: Cross multiply
    397.83x = 549 × 223.14
  4. Step 4: Simplify right side
    397.83x = 122,503.86
  5. Step 5: Solve for x
    x = 122,503.86/397.83
  6. Step 6: Final answer
    x = 307.93

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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.