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Finding the Fourth Proportional to 885.85, 1,328.14 and 337.73

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Solution

The fourth proportional to 885.85, 1,328.14 and 337.73 is: 506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.85 : 1,328.14 = 337.73 : x
  2. Step 2: Convert to fraction form
    885.85/1,328.14 = 337.73/x
  3. Step 3: Cross multiply
    885.85x = 1,328.14 × 337.73
  4. Step 4: Simplify right side
    885.85x = 448,552.72
  5. Step 5: Solve for x
    x = 448,552.72/885.85
  6. Step 6: Final answer
    x = 506.35

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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.