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Finding the Fourth Proportional to 600.04, 826.23 and 433.92

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Solution

The fourth proportional to 600.04, 826.23 and 433.92 is: 597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.04 : 826.23 = 433.92 : x
  2. Step 2: Convert to fraction form
    600.04/826.23 = 433.92/x
  3. Step 3: Cross multiply
    600.04x = 826.23 × 433.92
  4. Step 4: Simplify right side
    600.04x = 358,517.72
  5. Step 5: Solve for x
    x = 358,517.72/600.04
  6. Step 6: Final answer
    x = 597.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.