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Finding the Fourth Proportional to 884.48, 1,326.44 and 307.22

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Solution

The fourth proportional to 884.48, 1,326.44 and 307.22 is: 460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.48 : 1,326.44 = 307.22 : x
  2. Step 2: Convert to fraction form
    884.48/1,326.44 = 307.22/x
  3. Step 3: Cross multiply
    884.48x = 1,326.44 × 307.22
  4. Step 4: Simplify right side
    884.48x = 407,512.98
  5. Step 5: Solve for x
    x = 407,512.98/884.48
  6. Step 6: Final answer
    x = 460.74

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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.