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Finding the Fourth Proportional to 429.77, 644.72 and 182.98

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Solution

The fourth proportional to 429.77, 644.72 and 182.98 is: 274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.77 : 644.72 = 182.98 : x
  2. Step 2: Convert to fraction form
    429.77/644.72 = 182.98/x
  3. Step 3: Cross multiply
    429.77x = 644.72 × 182.98
  4. Step 4: Simplify right side
    429.77x = 117,969.71
  5. Step 5: Solve for x
    x = 117,969.71/429.77
  6. Step 6: Final answer
    x = 274.49

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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.