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Finding the Fourth Proportional to 528.61, 729.48 and 295.73

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Solution

The fourth proportional to 528.61, 729.48 and 295.73 is: 408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.61 : 729.48 = 295.73 : x
  2. Step 2: Convert to fraction form
    528.61/729.48 = 295.73/x
  3. Step 3: Cross multiply
    528.61x = 729.48 × 295.73
  4. Step 4: Simplify right side
    528.61x = 215,732.59
  5. Step 5: Solve for x
    x = 215,732.59/528.61
  6. Step 6: Final answer
    x = 408.11

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