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Finding the Fourth Proportional to 430.31, 644.85 and 224.63

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Solution

The fourth proportional to 430.31, 644.85 and 224.63 is: 336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.31 : 644.85 = 224.63 : x
  2. Step 2: Convert to fraction form
    430.31/644.85 = 224.63/x
  3. Step 3: Cross multiply
    430.31x = 644.85 × 224.63
  4. Step 4: Simplify right side
    430.31x = 144,849.43
  5. Step 5: Solve for x
    x = 144,849.43/430.31
  6. Step 6: Final answer
    x = 336.62

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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.