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Finding the Fourth Proportional to 528.78, 729.08 and 371.50

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Solution

The fourth proportional to 528.78, 729.08 and 371.50 is: 512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.78 : 729.08 = 371.50 : x
  2. Step 2: Convert to fraction form
    528.78/729.08 = 371.50/x
  3. Step 3: Cross multiply
    528.78x = 729.08 × 371.50
  4. Step 4: Simplify right side
    528.78x = 270,853.22
  5. Step 5: Solve for x
    x = 270,853.22/528.78
  6. Step 6: Final answer
    x = 512.22

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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.