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Finding the Fourth Proportional to 527.51, 728.01 and 362.27

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Solution

The fourth proportional to 527.51, 728.01 and 362.27 is: 499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.51 : 728.01 = 362.27 : x
  2. Step 2: Convert to fraction form
    527.51/728.01 = 362.27/x
  3. Step 3: Cross multiply
    527.51x = 728.01 × 362.27
  4. Step 4: Simplify right side
    527.51x = 263,732.54
  5. Step 5: Solve for x
    x = 263,732.54/527.51
  6. Step 6: Final answer
    x = 499.96

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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.