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Finding the Fourth Proportional to 654.13, 902.78 and 392.23

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Solution

The fourth proportional to 654.13, 902.78 and 392.23 is: 541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.13 : 902.78 = 392.23 : x
  2. Step 2: Convert to fraction form
    654.13/902.78 = 392.23/x
  3. Step 3: Cross multiply
    654.13x = 902.78 × 392.23
  4. Step 4: Simplify right side
    654.13x = 354,097.40
  5. Step 5: Solve for x
    x = 354,097.40/654.13
  6. Step 6: Final answer
    x = 541.33

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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.