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Finding the Fourth Proportional to 430.82, 645.66 and 199.67

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Solution

The fourth proportional to 430.82, 645.66 and 199.67 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.82 : 645.66 = 199.67 : x
  2. Step 2: Convert to fraction form
    430.82/645.66 = 199.67/x
  3. Step 3: Cross multiply
    430.82x = 645.66 × 199.67
  4. Step 4: Simplify right side
    430.82x = 128,918.93
  5. Step 5: Solve for x
    x = 128,918.93/430.82
  6. Step 6: Final answer
    x = 299.24

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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.