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Finding the Fourth Proportional to 528.32, 730.22 and 397.10

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Solution

The fourth proportional to 528.32, 730.22 and 397.10 is: 548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.32 : 730.22 = 397.10 : x
  2. Step 2: Convert to fraction form
    528.32/730.22 = 397.10/x
  3. Step 3: Cross multiply
    528.32x = 730.22 × 397.10
  4. Step 4: Simplify right side
    528.32x = 289,970.20
  5. Step 5: Solve for x
    x = 289,970.20/528.32
  6. Step 6: Final answer
    x = 548.85

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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.