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Finding the Fourth Proportional to 429.57, 644.63 and 224.24

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Solution

The fourth proportional to 429.57, 644.63 and 224.24 is: 336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.57 : 644.63 = 224.24 : x
  2. Step 2: Convert to fraction form
    429.57/644.63 = 224.24/x
  3. Step 3: Cross multiply
    429.57x = 644.63 × 224.24
  4. Step 4: Simplify right side
    429.57x = 144,547.49
  5. Step 5: Solve for x
    x = 144,547.49/429.57
  6. Step 6: Final answer
    x = 336.49

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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.