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Finding the Fourth Proportional to 430.85, 646.15 and 199.62

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Solution

The fourth proportional to 430.85, 646.15 and 199.62 is: 299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.85 : 646.15 = 199.62 : x
  2. Step 2: Convert to fraction form
    430.85/646.15 = 199.62/x
  3. Step 3: Cross multiply
    430.85x = 646.15 × 199.62
  4. Step 4: Simplify right side
    430.85x = 128,984.46
  5. Step 5: Solve for x
    x = 128,984.46/430.85
  6. Step 6: Final answer
    x = 299.37

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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.