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Finding the Fourth Proportional to 429.16, 643.78 and 407.28

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Solution

The fourth proportional to 429.16, 643.78 and 407.28 is: 610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.16 : 643.78 = 407.28 : x
  2. Step 2: Convert to fraction form
    429.16/643.78 = 407.28/x
  3. Step 3: Cross multiply
    429.16x = 643.78 × 407.28
  4. Step 4: Simplify right side
    429.16x = 262,198.72
  5. Step 5: Solve for x
    x = 262,198.72/429.16
  6. Step 6: Final answer
    x = 610.96

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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.