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Finding the Fourth Proportional to 407.75, 562.69 and 221.24

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Solution

The fourth proportional to 407.75, 562.69 and 221.24 is: 305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.75 : 562.69 = 221.24 : x
  2. Step 2: Convert to fraction form
    407.75/562.69 = 221.24/x
  3. Step 3: Cross multiply
    407.75x = 562.69 × 221.24
  4. Step 4: Simplify right side
    407.75x = 124,486.72
  5. Step 5: Solve for x
    x = 124,486.72/407.75
  6. Step 6: Final answer
    x = 305.31

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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.