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Finding the Fourth Proportional to 528.33, 729.02 and 292.24

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Solution

The fourth proportional to 528.33, 729.02 and 292.24 is: 403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.33 : 729.02 = 292.24 : x
  2. Step 2: Convert to fraction form
    528.33/729.02 = 292.24/x
  3. Step 3: Cross multiply
    528.33x = 729.02 × 292.24
  4. Step 4: Simplify right side
    528.33x = 213,049.54
  5. Step 5: Solve for x
    x = 213,049.54/528.33
  6. Step 6: Final answer
    x = 403.25

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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.