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Finding the Fourth Proportional to 600.88, 899.94 and 395.38

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Solution

The fourth proportional to 600.88, 899.94 and 395.38 is: 592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.88 : 899.94 = 395.38 : x
  2. Step 2: Convert to fraction form
    600.88/899.94 = 395.38/x
  3. Step 3: Cross multiply
    600.88x = 899.94 × 395.38
  4. Step 4: Simplify right side
    600.88x = 355,818.28
  5. Step 5: Solve for x
    x = 355,818.28/600.88
  6. Step 6: Final answer
    x = 592.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.