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Finding the Fourth Proportional to 407.17, 561.89 and 220.66

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Solution

The fourth proportional to 407.17, 561.89 and 220.66 is: 304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.17 : 561.89 = 220.66 : x
  2. Step 2: Convert to fraction form
    407.17/561.89 = 220.66/x
  3. Step 3: Cross multiply
    407.17x = 561.89 × 220.66
  4. Step 4: Simplify right side
    407.17x = 123,983.84
  5. Step 5: Solve for x
    x = 123,983.84/407.17
  6. Step 6: Final answer
    x = 304.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.