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Finding the Fourth Proportional to 429.78, 644.40 and 365.23

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Solution

The fourth proportional to 429.78, 644.40 and 365.23 is: 547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.78 : 644.40 = 365.23 : x
  2. Step 2: Convert to fraction form
    429.78/644.40 = 365.23/x
  3. Step 3: Cross multiply
    429.78x = 644.40 × 365.23
  4. Step 4: Simplify right side
    429.78x = 235,352.39
  5. Step 5: Solve for x
    x = 235,352.39/429.78
  6. Step 6: Final answer
    x = 547.62

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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.