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Finding the Fourth Proportional to 527.05, 790.49 and 151.78

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Solution

The fourth proportional to 527.05, 790.49 and 151.78 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.05 : 790.49 = 151.78 : x
  2. Step 2: Convert to fraction form
    527.05/790.49 = 151.78/x
  3. Step 3: Cross multiply
    527.05x = 790.49 × 151.78
  4. Step 4: Simplify right side
    527.05x = 119,979.60
  5. Step 5: Solve for x
    x = 119,979.60/527.05
  6. Step 6: Final answer
    x = 227.64

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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.