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Finding the Fourth Proportional to 429.64, 644.47 and 284.31

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Solution

The fourth proportional to 429.64, 644.47 and 284.31 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.64 : 644.47 = 284.31 : x
  2. Step 2: Convert to fraction form
    429.64/644.47 = 284.31/x
  3. Step 3: Cross multiply
    429.64x = 644.47 × 284.31
  4. Step 4: Simplify right side
    429.64x = 183,228.55
  5. Step 5: Solve for x
    x = 183,228.55/429.64
  6. Step 6: Final answer
    x = 426.47

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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.