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Finding the Fourth Proportional to 508.48, 762.78 and 381.04

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Solution

The fourth proportional to 508.48, 762.78 and 381.04 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.48 : 762.78 = 381.04 : x
  2. Step 2: Convert to fraction form
    508.48/762.78 = 381.04/x
  3. Step 3: Cross multiply
    508.48x = 762.78 × 381.04
  4. Step 4: Simplify right side
    508.48x = 290,649.69
  5. Step 5: Solve for x
    x = 290,649.69/508.48
  6. Step 6: Final answer
    x = 571.60

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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.