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Finding the Fourth Proportional to 654.49, 903 and 392.41

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Solution

The fourth proportional to 654.49, 903 and 392.41 is: 541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.49 : 903 = 392.41 : x
  2. Step 2: Convert to fraction form
    654.49/903 = 392.41/x
  3. Step 3: Cross multiply
    654.49x = 903 × 392.41
  4. Step 4: Simplify right side
    654.49x = 354,346.23
  5. Step 5: Solve for x
    x = 354,346.23/654.49
  6. Step 6: Final answer
    x = 541.41

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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.