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Finding the Fourth Proportional to 528.44, 728.32 and 397.24

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Solution

The fourth proportional to 528.44, 728.32 and 397.24 is: 547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.44 : 728.32 = 397.24 : x
  2. Step 2: Convert to fraction form
    528.44/728.32 = 397.24/x
  3. Step 3: Cross multiply
    528.44x = 728.32 × 397.24
  4. Step 4: Simplify right side
    528.44x = 289,317.84
  5. Step 5: Solve for x
    x = 289,317.84/528.44
  6. Step 6: Final answer
    x = 547.49

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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.