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Finding the Fourth Proportional to 528.92, 729.97 and 440.25

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Solution

The fourth proportional to 528.92, 729.97 and 440.25 is: 607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.92 : 729.97 = 440.25 : x
  2. Step 2: Convert to fraction form
    528.92/729.97 = 440.25/x
  3. Step 3: Cross multiply
    528.92x = 729.97 × 440.25
  4. Step 4: Simplify right side
    528.92x = 321,365.64
  5. Step 5: Solve for x
    x = 321,365.64/528.92
  6. Step 6: Final answer
    x = 607.59

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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.