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Finding the Fourth Proportional to 305.62, 421.05 and 291.22

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Solution

The fourth proportional to 305.62, 421.05 and 291.22 is: 401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.62 : 421.05 = 291.22 : x
  2. Step 2: Convert to fraction form
    305.62/421.05 = 291.22/x
  3. Step 3: Cross multiply
    305.62x = 421.05 × 291.22
  4. Step 4: Simplify right side
    305.62x = 122,618.18
  5. Step 5: Solve for x
    x = 122,618.18/305.62
  6. Step 6: Final answer
    x = 401.21

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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.