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Finding the Fourth Proportional to 429.76, 643.77 and 343.24

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Solution

The fourth proportional to 429.76, 643.77 and 343.24 is: 514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.76 : 643.77 = 343.24 : x
  2. Step 2: Convert to fraction form
    429.76/643.77 = 343.24/x
  3. Step 3: Cross multiply
    429.76x = 643.77 × 343.24
  4. Step 4: Simplify right side
    429.76x = 220,967.61
  5. Step 5: Solve for x
    x = 220,967.61/429.76
  6. Step 6: Final answer
    x = 514.17

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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.