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Finding the Fourth Proportional to 528.96, 729.99 and 296.09

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Solution

The fourth proportional to 528.96, 729.99 and 296.09 is: 408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.96 : 729.99 = 296.09 : x
  2. Step 2: Convert to fraction form
    528.96/729.99 = 296.09/x
  3. Step 3: Cross multiply
    528.96x = 729.99 × 296.09
  4. Step 4: Simplify right side
    528.96x = 216,139.09
  5. Step 5: Solve for x
    x = 216,139.09/528.96
  6. Step 6: Final answer
    x = 408.61

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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.