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Finding the Fourth Proportional to 599.88, 828.15 and 379.17

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Solution

The fourth proportional to 599.88, 828.15 and 379.17 is: 523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.88 : 828.15 = 379.17 : x
  2. Step 2: Convert to fraction form
    599.88/828.15 = 379.17/x
  3. Step 3: Cross multiply
    599.88x = 828.15 × 379.17
  4. Step 4: Simplify right side
    599.88x = 314,009.64
  5. Step 5: Solve for x
    x = 314,009.64/599.88
  6. Step 6: Final answer
    x = 523.45

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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.