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Finding the Fourth Proportional to 527.77, 792.29 and 311.50

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Solution

The fourth proportional to 527.77, 792.29 and 311.50 is: 467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.77 : 792.29 = 311.50 : x
  2. Step 2: Convert to fraction form
    527.77/792.29 = 311.50/x
  3. Step 3: Cross multiply
    527.77x = 792.29 × 311.50
  4. Step 4: Simplify right side
    527.77x = 246,798.34
  5. Step 5: Solve for x
    x = 246,798.34/527.77
  6. Step 6: Final answer
    x = 467.62

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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.