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Finding the Fourth Proportional to 407.41, 562.22 and 220.89

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Solution

The fourth proportional to 407.41, 562.22 and 220.89 is: 304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.41 : 562.22 = 220.89 : x
  2. Step 2: Convert to fraction form
    407.41/562.22 = 220.89/x
  3. Step 3: Cross multiply
    407.41x = 562.22 × 220.89
  4. Step 4: Simplify right side
    407.41x = 124,187.67
  5. Step 5: Solve for x
    x = 124,187.67/407.41
  6. Step 6: Final answer
    x = 304.83

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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.