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Finding the Fourth Proportional to 429.66, 644.49 and 248.33

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Solution

The fourth proportional to 429.66, 644.49 and 248.33 is: 372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.66 : 644.49 = 248.33 : x
  2. Step 2: Convert to fraction form
    429.66/644.49 = 248.33/x
  3. Step 3: Cross multiply
    429.66x = 644.49 × 248.33
  4. Step 4: Simplify right side
    429.66x = 160,047.81
  5. Step 5: Solve for x
    x = 160,047.81/429.66
  6. Step 6: Final answer
    x = 372.50

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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.