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Finding the Fourth Proportional to 885.50, 1,327.08 and 364.91

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Solution

The fourth proportional to 885.50, 1,327.08 and 364.91 is: 546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.50 : 1,327.08 = 364.91 : x
  2. Step 2: Convert to fraction form
    885.50/1,327.08 = 364.91/x
  3. Step 3: Cross multiply
    885.50x = 1,327.08 × 364.91
  4. Step 4: Simplify right side
    885.50x = 484,258.13
  5. Step 5: Solve for x
    x = 484,258.13/885.50
  6. Step 6: Final answer
    x = 546.88

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Why These Related Problems?

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