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Finding the Fourth Proportional to 429.98, 644.97 and 302.30

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Solution

The fourth proportional to 429.98, 644.97 and 302.30 is: 453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.98 : 644.97 = 302.30 : x
  2. Step 2: Convert to fraction form
    429.98/644.97 = 302.30/x
  3. Step 3: Cross multiply
    429.98x = 644.97 × 302.30
  4. Step 4: Simplify right side
    429.98x = 194,974.43
  5. Step 5: Solve for x
    x = 194,974.43/429.98
  6. Step 6: Final answer
    x = 453.45

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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.