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Finding the Fourth Proportional to 429.31, 643.88 and 274.77

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Solution

The fourth proportional to 429.31, 643.88 and 274.77 is: 412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.31 : 643.88 = 274.77 : x
  2. Step 2: Convert to fraction form
    429.31/643.88 = 274.77/x
  3. Step 3: Cross multiply
    429.31x = 643.88 × 274.77
  4. Step 4: Simplify right side
    429.31x = 176,918.91
  5. Step 5: Solve for x
    x = 176,918.91/429.31
  6. Step 6: Final answer
    x = 412.10

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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.