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Finding the Fourth Proportional to 504.87, 756.28 and 253.95

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Solution

The fourth proportional to 504.87, 756.28 and 253.95 is: 380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.87 : 756.28 = 253.95 : x
  2. Step 2: Convert to fraction form
    504.87/756.28 = 253.95/x
  3. Step 3: Cross multiply
    504.87x = 756.28 × 253.95
  4. Step 4: Simplify right side
    504.87x = 192,057.31
  5. Step 5: Solve for x
    x = 192,057.31/504.87
  6. Step 6: Final answer
    x = 380.41

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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.