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Finding the Fourth Proportional to 642.65, 886.85 and 347.91

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Solution

The fourth proportional to 642.65, 886.85 and 347.91 is: 480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.65 : 886.85 = 347.91 : x
  2. Step 2: Convert to fraction form
    642.65/886.85 = 347.91/x
  3. Step 3: Cross multiply
    642.65x = 886.85 × 347.91
  4. Step 4: Simplify right side
    642.65x = 308,544.85
  5. Step 5: Solve for x
    x = 308,544.85/642.65
  6. Step 6: Final answer
    x = 480.12

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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.