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Finding the Fourth Proportional to 503.28, 753.24 and 380.88

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Solution

The fourth proportional to 503.28, 753.24 and 380.88 is: 570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.28 : 753.24 = 380.88 : x
  2. Step 2: Convert to fraction form
    503.28/753.24 = 380.88/x
  3. Step 3: Cross multiply
    503.28x = 753.24 × 380.88
  4. Step 4: Simplify right side
    503.28x = 286,894.05
  5. Step 5: Solve for x
    x = 286,894.05/503.28
  6. Step 6: Final answer
    x = 570.05

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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.