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Finding the Fourth Proportional to 528.35, 729.39 and 342.09

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Solution

The fourth proportional to 528.35, 729.39 and 342.09 is: 472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.35 : 729.39 = 342.09 : x
  2. Step 2: Convert to fraction form
    528.35/729.39 = 342.09/x
  3. Step 3: Cross multiply
    528.35x = 729.39 × 342.09
  4. Step 4: Simplify right side
    528.35x = 249,517.03
  5. Step 5: Solve for x
    x = 249,517.03/528.35
  6. Step 6: Final answer
    x = 472.26

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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.