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Finding the Fourth Proportional to 528.66, 729.33 and 411.09

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Solution

The fourth proportional to 528.66, 729.33 and 411.09 is: 567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.66 : 729.33 = 411.09 : x
  2. Step 2: Convert to fraction form
    528.66/729.33 = 411.09/x
  3. Step 3: Cross multiply
    528.66x = 729.33 × 411.09
  4. Step 4: Simplify right side
    528.66x = 299,820.27
  5. Step 5: Solve for x
    x = 299,820.27/528.66
  6. Step 6: Final answer
    x = 567.13

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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.