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Finding the Fourth Proportional to 600.70, 899.88 and 394.64

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Solution

The fourth proportional to 600.70, 899.88 and 394.64 is: 591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.70 : 899.88 = 394.64 : x
  2. Step 2: Convert to fraction form
    600.70/899.88 = 394.64/x
  3. Step 3: Cross multiply
    600.70x = 899.88 × 394.64
  4. Step 4: Simplify right side
    600.70x = 355,124.42
  5. Step 5: Solve for x
    x = 355,124.42/600.70
  6. Step 6: Final answer
    x = 591.19

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Why These Related Problems?

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