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Finding the Fourth Proportional to 430.11, 645.33 and 199.11

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Solution

The fourth proportional to 430.11, 645.33 and 199.11 is: 298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.11 : 645.33 = 199.11 : x
  2. Step 2: Convert to fraction form
    430.11/645.33 = 199.11/x
  3. Step 3: Cross multiply
    430.11x = 645.33 × 199.11
  4. Step 4: Simplify right side
    430.11x = 128,490.66
  5. Step 5: Solve for x
    x = 128,490.66/430.11
  6. Step 6: Final answer
    x = 298.74

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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.