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Finding the Fourth Proportional to 429.98, 643.92 and 419.02

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Solution

The fourth proportional to 429.98, 643.92 and 419.02 is: 627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.98 : 643.92 = 419.02 : x
  2. Step 2: Convert to fraction form
    429.98/643.92 = 419.02/x
  3. Step 3: Cross multiply
    429.98x = 643.92 × 419.02
  4. Step 4: Simplify right side
    429.98x = 269,815.36
  5. Step 5: Solve for x
    x = 269,815.36/429.98
  6. Step 6: Final answer
    x = 627.51

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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.