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Finding the Fourth Proportional to 642.04, 885.94 and 393.42

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Solution

The fourth proportional to 642.04, 885.94 and 393.42 is: 542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.04 : 885.94 = 393.42 : x
  2. Step 2: Convert to fraction form
    642.04/885.94 = 393.42/x
  3. Step 3: Cross multiply
    642.04x = 885.94 × 393.42
  4. Step 4: Simplify right side
    642.04x = 348,546.51
  5. Step 5: Solve for x
    x = 348,546.51/642.04
  6. Step 6: Final answer
    x = 542.87

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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.