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Finding the Fourth Proportional to 527.30, 790.83 and 157.05

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Solution

The fourth proportional to 527.30, 790.83 and 157.05 is: 235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.30 : 790.83 = 157.05 : x
  2. Step 2: Convert to fraction form
    527.30/790.83 = 157.05/x
  3. Step 3: Cross multiply
    527.30x = 790.83 × 157.05
  4. Step 4: Simplify right side
    527.30x = 124,199.85
  5. Step 5: Solve for x
    x = 124,199.85/527.30
  6. Step 6: Final answer
    x = 235.54

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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.