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Finding the Fourth Proportional to 508.44, 762.33 and 411.06

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Solution

The fourth proportional to 508.44, 762.33 and 411.06 is: 616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.44 : 762.33 = 411.06 : x
  2. Step 2: Convert to fraction form
    508.44/762.33 = 411.06/x
  3. Step 3: Cross multiply
    508.44x = 762.33 × 411.06
  4. Step 4: Simplify right side
    508.44x = 313,363.37
  5. Step 5: Solve for x
    x = 313,363.37/508.44
  6. Step 6: Final answer
    x = 616.32

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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.