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Finding the Fourth Proportional to 528.63, 729.57 and 304.62

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Solution

The fourth proportional to 528.63, 729.57 and 304.62 is: 420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.63 : 729.57 = 304.62 : x
  2. Step 2: Convert to fraction form
    528.63/729.57 = 304.62/x
  3. Step 3: Cross multiply
    528.63x = 729.57 × 304.62
  4. Step 4: Simplify right side
    528.63x = 222,238.88
  5. Step 5: Solve for x
    x = 222,238.88/528.63
  6. Step 6: Final answer
    x = 420.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.