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Finding the Fourth Proportional to 595.11, 892.42 and 199.71

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Solution

The fourth proportional to 595.11, 892.42 and 199.71 is: 299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.11 : 892.42 = 199.71 : x
  2. Step 2: Convert to fraction form
    595.11/892.42 = 199.71/x
  3. Step 3: Cross multiply
    595.11x = 892.42 × 199.71
  4. Step 4: Simplify right side
    595.11x = 178,225.20
  5. Step 5: Solve for x
    x = 178,225.20/595.11
  6. Step 6: Final answer
    x = 299.48

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1.5x scale

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.