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Finding the Fourth Proportional to 527.12, 727.54 and 377.96

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Solution

The fourth proportional to 527.12, 727.54 and 377.96 is: 521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.12 : 727.54 = 377.96 : x
  2. Step 2: Convert to fraction form
    527.12/727.54 = 377.96/x
  3. Step 3: Cross multiply
    527.12x = 727.54 × 377.96
  4. Step 4: Simplify right side
    527.12x = 274,981.02
  5. Step 5: Solve for x
    x = 274,981.02/527.12
  6. Step 6: Final answer
    x = 521.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.