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Finding the Fourth Proportional to 528.03, 728.67 and 362.24

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Solution

The fourth proportional to 528.03, 728.67 and 362.24 is: 499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.03 : 728.67 = 362.24 : x
  2. Step 2: Convert to fraction form
    528.03/728.67 = 362.24/x
  3. Step 3: Cross multiply
    528.03x = 728.67 × 362.24
  4. Step 4: Simplify right side
    528.03x = 263,949.78
  5. Step 5: Solve for x
    x = 263,949.78/528.03
  6. Step 6: Final answer
    x = 499.88

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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.