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Finding the Fourth Proportional to 528.53, 729 and 518.81

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Solution

The fourth proportional to 528.53, 729 and 518.81 is: 715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.53 : 729 = 518.81 : x
  2. Step 2: Convert to fraction form
    528.53/729 = 518.81/x
  3. Step 3: Cross multiply
    528.53x = 729 × 518.81
  4. Step 4: Simplify right side
    528.53x = 378,208.85
  5. Step 5: Solve for x
    x = 378,208.85/528.53
  6. Step 6: Final answer
    x = 715.59

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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.