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Finding the Fourth Proportional to 884.74, 1,327.24 and 365.02

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Solution

The fourth proportional to 884.74, 1,327.24 and 365.02 is: 547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.74 : 1,327.24 = 365.02 : x
  2. Step 2: Convert to fraction form
    884.74/1,327.24 = 365.02/x
  3. Step 3: Cross multiply
    884.74x = 1,327.24 × 365.02
  4. Step 4: Simplify right side
    884.74x = 484,469.14
  5. Step 5: Solve for x
    x = 484,469.14/884.74
  6. Step 6: Final answer
    x = 547.58

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1.5x scale

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.