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Finding the Fourth Proportional to 642.06, 886.11 and 380.07

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Solution

The fourth proportional to 642.06, 886.11 and 380.07 is: 524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.06 : 886.11 = 380.07 : x
  2. Step 2: Convert to fraction form
    642.06/886.11 = 380.07/x
  3. Step 3: Cross multiply
    642.06x = 886.11 × 380.07
  4. Step 4: Simplify right side
    642.06x = 336,783.83
  5. Step 5: Solve for x
    x = 336,783.83/642.06
  6. Step 6: Final answer
    x = 524.54

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Why These Related Problems?

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