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Finding the Fourth Proportional to 375.45, 518.40 and 228.28

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Solution

The fourth proportional to 375.45, 518.40 and 228.28 is: 315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.45 : 518.40 = 228.28 : x
  2. Step 2: Convert to fraction form
    375.45/518.40 = 228.28/x
  3. Step 3: Cross multiply
    375.45x = 518.40 × 228.28
  4. Step 4: Simplify right side
    375.45x = 118,339.21
  5. Step 5: Solve for x
    x = 118,339.21/375.45
  6. Step 6: Final answer
    x = 315.20

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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.