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Finding the Fourth Proportional to 527.59, 728.22 and 362.22

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Solution

The fourth proportional to 527.59, 728.22 and 362.22 is: 499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.59 : 728.22 = 362.22 : x
  2. Step 2: Convert to fraction form
    527.59/728.22 = 362.22/x
  3. Step 3: Cross multiply
    527.59x = 728.22 × 362.22
  4. Step 4: Simplify right side
    527.59x = 263,775.85
  5. Step 5: Solve for x
    x = 263,775.85/527.59
  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.