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Finding the Fourth Proportional to 599.31, 827.01 and 429.01

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Solution

The fourth proportional to 599.31, 827.01 and 429.01 is: 592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.31 : 827.01 = 429.01 : x
  2. Step 2: Convert to fraction form
    599.31/827.01 = 429.01/x
  3. Step 3: Cross multiply
    599.31x = 827.01 × 429.01
  4. Step 4: Simplify right side
    599.31x = 354,793.49
  5. Step 5: Solve for x
    x = 354,793.49/599.31
  6. Step 6: Final answer
    x = 592.00

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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.