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Finding the Fourth Proportional to 528.44, 729.25 and 292.38

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Solution

The fourth proportional to 528.44, 729.25 and 292.38 is: 403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.44 : 729.25 = 292.38 : x
  2. Step 2: Convert to fraction form
    528.44/729.25 = 292.38/x
  3. Step 3: Cross multiply
    528.44x = 729.25 × 292.38
  4. Step 4: Simplify right side
    528.44x = 213,218.12
  5. Step 5: Solve for x
    x = 213,218.12/528.44
  6. Step 6: Final answer
    x = 403.49

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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.