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Finding the Fourth Proportional to 885.75, 1,328.16 and 300.54

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Solution

The fourth proportional to 885.75, 1,328.16 and 300.54 is: 450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.75 : 1,328.16 = 300.54 : x
  2. Step 2: Convert to fraction form
    885.75/1,328.16 = 300.54/x
  3. Step 3: Cross multiply
    885.75x = 1,328.16 × 300.54
  4. Step 4: Simplify right side
    885.75x = 399,171.31
  5. Step 5: Solve for x
    x = 399,171.31/885.75
  6. Step 6: Final answer
    x = 450.66

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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.