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Finding the Fourth Proportional to 527.50, 727.41 and 428.95

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Solution

The fourth proportional to 527.50, 727.41 and 428.95 is: 591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.50 : 727.41 = 428.95 : x
  2. Step 2: Convert to fraction form
    527.50/727.41 = 428.95/x
  3. Step 3: Cross multiply
    527.50x = 727.41 × 428.95
  4. Step 4: Simplify right side
    527.50x = 312,022.52
  5. Step 5: Solve for x
    x = 312,022.52/527.50
  6. Step 6: Final answer
    x = 591.51

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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.