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Finding the Fourth Proportional to 885.16, 1,327.80 and 307.84

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Solution

The fourth proportional to 885.16, 1,327.80 and 307.84 is: 461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.16 : 1,327.80 = 307.84 : x
  2. Step 2: Convert to fraction form
    885.16/1,327.80 = 307.84/x
  3. Step 3: Cross multiply
    885.16x = 1,327.80 × 307.84
  4. Step 4: Simplify right side
    885.16x = 408,749.95
  5. Step 5: Solve for x
    x = 408,749.95/885.16
  6. Step 6: Final answer
    x = 461.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.