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Finding the Fourth Proportional to 375.47, 518.21 and 228.21

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Solution

The fourth proportional to 375.47, 518.21 and 228.21 is: 314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.47 : 518.21 = 228.21 : x
  2. Step 2: Convert to fraction form
    375.47/518.21 = 228.21/x
  3. Step 3: Cross multiply
    375.47x = 518.21 × 228.21
  4. Step 4: Simplify right side
    375.47x = 118,260.70
  5. Step 5: Solve for x
    x = 118,260.70/375.47
  6. Step 6: Final answer
    x = 314.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.