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Finding the Fourth Proportional to 679.76, 938.01 and 384.99

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Solution

The fourth proportional to 679.76, 938.01 and 384.99 is: 531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.76 : 938.01 = 384.99 : x
  2. Step 2: Convert to fraction form
    679.76/938.01 = 384.99/x
  3. Step 3: Cross multiply
    679.76x = 938.01 × 384.99
  4. Step 4: Simplify right side
    679.76x = 361,122.40
  5. Step 5: Solve for x
    x = 361,122.40/679.76
  6. Step 6: Final answer
    x = 531.25

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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.