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Finding the Fourth Proportional to 642.14, 886.02 and 409.22

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Solution

The fourth proportional to 642.14, 886.02 and 409.22 is: 564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.14 : 886.02 = 409.22 : x
  2. Step 2: Convert to fraction form
    642.14/886.02 = 409.22/x
  3. Step 3: Cross multiply
    642.14x = 886.02 × 409.22
  4. Step 4: Simplify right side
    642.14x = 362,577.10
  5. Step 5: Solve for x
    x = 362,577.10/642.14
  6. Step 6: Final answer
    x = 564.64

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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.