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Finding the Fourth Proportional to 527.90, 727.50 and 380.28

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Solution

The fourth proportional to 527.90, 727.50 and 380.28 is: 524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.90 : 727.50 = 380.28 : x
  2. Step 2: Convert to fraction form
    527.90/727.50 = 380.28/x
  3. Step 3: Cross multiply
    527.90x = 727.50 × 380.28
  4. Step 4: Simplify right side
    527.90x = 276,653.70
  5. Step 5: Solve for x
    x = 276,653.70/527.90
  6. Step 6: Final answer
    x = 524.06

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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.