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Finding the Fourth Proportional to 642.42, 886.44 and 393.75

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Solution

The fourth proportional to 642.42, 886.44 and 393.75 is: 543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.42 : 886.44 = 393.75 : x
  2. Step 2: Convert to fraction form
    642.42/886.44 = 393.75/x
  3. Step 3: Cross multiply
    642.42x = 886.44 × 393.75
  4. Step 4: Simplify right side
    642.42x = 349,035.75
  5. Step 5: Solve for x
    x = 349,035.75/642.42
  6. Step 6: Final answer
    x = 543.31

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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.