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Finding the Fourth Proportional to 429.05, 643.34 and 274.88

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Solution

The fourth proportional to 429.05, 643.34 and 274.88 is: 412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.05 : 643.34 = 274.88 : x
  2. Step 2: Convert to fraction form
    429.05/643.34 = 274.88/x
  3. Step 3: Cross multiply
    429.05x = 643.34 × 274.88
  4. Step 4: Simplify right side
    429.05x = 176,836.71
  5. Step 5: Solve for x
    x = 176,836.71/429.05
  6. Step 6: Final answer
    x = 412.16

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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.