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Finding the Fourth Proportional to 527.72, 792.66 and 365.72

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Solution

The fourth proportional to 527.72, 792.66 and 365.72 is: 549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.72 : 792.66 = 365.72 : x
  2. Step 2: Convert to fraction form
    527.72/792.66 = 365.72/x
  3. Step 3: Cross multiply
    527.72x = 792.66 × 365.72
  4. Step 4: Simplify right side
    527.72x = 289,891.62
  5. Step 5: Solve for x
    x = 289,891.62/527.72
  6. Step 6: Final answer
    x = 549.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.