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Finding the Fourth Proportional to 643.10, 886.93 and 419.09

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Solution

The fourth proportional to 643.10, 886.93 and 419.09 is: 577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.10 : 886.93 = 419.09 : x
  2. Step 2: Convert to fraction form
    643.10/886.93 = 419.09/x
  3. Step 3: Cross multiply
    643.10x = 886.93 × 419.09
  4. Step 4: Simplify right side
    643.10x = 371,696.96
  5. Step 5: Solve for x
    x = 371,696.96/643.10
  6. Step 6: Final answer
    x = 577.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.