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Finding the Fourth Proportional to 528.21, 728.64 and 370.78

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Solution

The fourth proportional to 528.21, 728.64 and 370.78 is: 511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.21 : 728.64 = 370.78 : x
  2. Step 2: Convert to fraction form
    528.21/728.64 = 370.78/x
  3. Step 3: Cross multiply
    528.21x = 728.64 × 370.78
  4. Step 4: Simplify right side
    528.21x = 270,165.14
  5. Step 5: Solve for x
    x = 270,165.14/528.21
  6. Step 6: Final answer
    x = 511.47

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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.