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Finding the Fourth Proportional to 528.27, 728.81 and 362.21

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Solution

The fourth proportional to 528.27, 728.81 and 362.21 is: 499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.27 : 728.81 = 362.21 : x
  2. Step 2: Convert to fraction form
    528.27/728.81 = 362.21/x
  3. Step 3: Cross multiply
    528.27x = 728.81 × 362.21
  4. Step 4: Simplify right side
    528.27x = 263,976.82
  5. Step 5: Solve for x
    x = 263,976.82/528.27
  6. Step 6: Final answer
    x = 499.70

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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.