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Finding the Fourth Proportional to 642.25, 886.30 and 347.52

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Solution

The fourth proportional to 642.25, 886.30 and 347.52 is: 479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.25 : 886.30 = 347.52 : x
  2. Step 2: Convert to fraction form
    642.25/886.30 = 347.52/x
  3. Step 3: Cross multiply
    642.25x = 886.30 × 347.52
  4. Step 4: Simplify right side
    642.25x = 308,006.40
  5. Step 5: Solve for x
    x = 308,006.40/642.25
  6. Step 6: Final answer
    x = 479.58

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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.