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Finding the Fourth Proportional to 429.76, 643.15 and 337.69

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Solution

The fourth proportional to 429.76, 643.15 and 337.69 is: 505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.76 : 643.15 = 337.69 : x
  2. Step 2: Convert to fraction form
    429.76/643.15 = 337.69/x
  3. Step 3: Cross multiply
    429.76x = 643.15 × 337.69
  4. Step 4: Simplify right side
    429.76x = 217,185.32
  5. Step 5: Solve for x
    x = 217,185.32/429.76
  6. Step 6: Final answer
    x = 505.36

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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.