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Finding the Fourth Proportional to 429.06, 643.14 and 406.28

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Solution

The fourth proportional to 429.06, 643.14 and 406.28 is: 608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.06 : 643.14 = 406.28 : x
  2. Step 2: Convert to fraction form
    429.06/643.14 = 406.28/x
  3. Step 3: Cross multiply
    429.06x = 643.14 × 406.28
  4. Step 4: Simplify right side
    429.06x = 261,296.53
  5. Step 5: Solve for x
    x = 261,296.53/429.06
  6. Step 6: Final answer
    x = 608.99

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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.