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Finding the Fourth Proportional to 642.82, 887.09 and 348.08

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Solution

The fourth proportional to 642.82, 887.09 and 348.08 is: 480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.82 : 887.09 = 348.08 : x
  2. Step 2: Convert to fraction form
    642.82/887.09 = 348.08/x
  3. Step 3: Cross multiply
    642.82x = 887.09 × 348.08
  4. Step 4: Simplify right side
    642.82x = 308,780.43
  5. Step 5: Solve for x
    x = 308,780.43/642.82
  6. Step 6: Final answer
    x = 480.35

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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.