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Finding the Fourth Proportional to 528.28, 729.01 and 307.23

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Solution

The fourth proportional to 528.28, 729.01 and 307.23 is: 423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.28 : 729.01 = 307.23 : x
  2. Step 2: Convert to fraction form
    528.28/729.01 = 307.23/x
  3. Step 3: Cross multiply
    528.28x = 729.01 × 307.23
  4. Step 4: Simplify right side
    528.28x = 223,972.97
  5. Step 5: Solve for x
    x = 223,972.97/528.28
  6. Step 6: Final answer
    x = 423.97

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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.