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Finding the Fourth Proportional to 528.46, 729.23 and 304.47

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Solution

The fourth proportional to 528.46, 729.23 and 304.47 is: 420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.46 : 729.23 = 304.47 : x
  2. Step 2: Convert to fraction form
    528.46/729.23 = 304.47/x
  3. Step 3: Cross multiply
    528.46x = 729.23 × 304.47
  4. Step 4: Simplify right side
    528.46x = 222,027.14
  5. Step 5: Solve for x
    x = 222,027.14/528.46
  6. Step 6: Final answer
    x = 420.14

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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.