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Finding the Fourth Proportional to 528.24, 729.36 and 339.48

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Solution

The fourth proportional to 528.24, 729.36 and 339.48 is: 468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.24 : 729.36 = 339.48 : x
  2. Step 2: Convert to fraction form
    528.24/729.36 = 339.48/x
  3. Step 3: Cross multiply
    528.24x = 729.36 × 339.48
  4. Step 4: Simplify right side
    528.24x = 247,603.13
  5. Step 5: Solve for x
    x = 247,603.13/528.24
  6. Step 6: Final answer
    x = 468.73

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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.