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Finding the Fourth Proportional to 429.94, 644.91 and 285.76

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Solution

The fourth proportional to 429.94, 644.91 and 285.76 is: 428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.94 : 644.91 = 285.76 : x
  2. Step 2: Convert to fraction form
    429.94/644.91 = 285.76/x
  3. Step 3: Cross multiply
    429.94x = 644.91 × 285.76
  4. Step 4: Simplify right side
    429.94x = 184,289.48
  5. Step 5: Solve for x
    x = 184,289.48/429.94
  6. Step 6: Final answer
    x = 428.64

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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.