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Finding the Fourth Proportional to 529.41, 729 and 418.54

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Solution

The fourth proportional to 529.41, 729 and 418.54 is: 576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.41 : 729 = 418.54 : x
  2. Step 2: Convert to fraction form
    529.41/729 = 418.54/x
  3. Step 3: Cross multiply
    529.41x = 729 × 418.54
  4. Step 4: Simplify right side
    529.41x = 305,115.66
  5. Step 5: Solve for x
    x = 305,115.66/529.41
  6. Step 6: Final answer
    x = 576.33

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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.