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Finding the Fourth Proportional to 527.14, 790.85 and 238.51

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Solution

The fourth proportional to 527.14, 790.85 and 238.51 is: 357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.14 : 790.85 = 238.51 : x
  2. Step 2: Convert to fraction form
    527.14/790.85 = 238.51/x
  3. Step 3: Cross multiply
    527.14x = 790.85 × 238.51
  4. Step 4: Simplify right side
    527.14x = 188,625.63
  5. Step 5: Solve for x
    x = 188,625.63/527.14
  6. Step 6: Final answer
    x = 357.83

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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.