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Finding the Fourth Proportional to 410.90, 616.56 and 228.26

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Solution

The fourth proportional to 410.90, 616.56 and 228.26 is: 342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.90 : 616.56 = 228.26 : x
  2. Step 2: Convert to fraction form
    410.90/616.56 = 228.26/x
  3. Step 3: Cross multiply
    410.90x = 616.56 × 228.26
  4. Step 4: Simplify right side
    410.90x = 140,732.90
  5. Step 5: Solve for x
    x = 140,732.90/410.90
  6. Step 6: Final answer
    x = 342.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.