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Finding the Fourth Proportional to 527.16, 790.70 and 234.66

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Solution

The fourth proportional to 527.16, 790.70 and 234.66 is: 351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 790.70 = 234.66 : x
  2. Step 2: Convert to fraction form
    527.16/790.70 = 234.66/x
  3. Step 3: Cross multiply
    527.16x = 790.70 × 234.66
  4. Step 4: Simplify right side
    527.16x = 185,544.49
  5. Step 5: Solve for x
    x = 185,544.49/527.16
  6. Step 6: Final answer
    x = 351.97

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