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Finding the Fourth Proportional to 528.73, 729.61 and 418.47

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Solution

The fourth proportional to 528.73, 729.61 and 418.47 is: 577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.73 : 729.61 = 418.47 : x
  2. Step 2: Convert to fraction form
    528.73/729.61 = 418.47/x
  3. Step 3: Cross multiply
    528.73x = 729.61 × 418.47
  4. Step 4: Simplify right side
    528.73x = 305,316.11
  5. Step 5: Solve for x
    x = 305,316.11/528.73
  6. Step 6: Final answer
    x = 577.45

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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.