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Finding the Fourth Proportional to 528.10, 728.36 and 362.05

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Solution

The fourth proportional to 528.10, 728.36 and 362.05 is: 499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.10 : 728.36 = 362.05 : x
  2. Step 2: Convert to fraction form
    528.10/728.36 = 362.05/x
  3. Step 3: Cross multiply
    528.10x = 728.36 × 362.05
  4. Step 4: Simplify right side
    528.10x = 263,697.29
  5. Step 5: Solve for x
    x = 263,697.29/528.10
  6. Step 6: Final answer
    x = 499.34

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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.