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Finding the Fourth Proportional to 528.85, 729.82 and 292.78

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Solution

The fourth proportional to 528.85, 729.82 and 292.78 is: 404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.85 : 729.82 = 292.78 : x
  2. Step 2: Convert to fraction form
    528.85/729.82 = 292.78/x
  3. Step 3: Cross multiply
    528.85x = 729.82 × 292.78
  4. Step 4: Simplify right side
    528.85x = 213,671.59
  5. Step 5: Solve for x
    x = 213,671.59/528.85
  6. Step 6: Final answer
    x = 404.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.