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Finding the Fourth Proportional to 654.08, 902.61 and 392.18

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Solution

The fourth proportional to 654.08, 902.61 and 392.18 is: 541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.08 : 902.61 = 392.18 : x
  2. Step 2: Convert to fraction form
    654.08/902.61 = 392.18/x
  3. Step 3: Cross multiply
    654.08x = 902.61 × 392.18
  4. Step 4: Simplify right side
    654.08x = 353,981.08
  5. Step 5: Solve for x
    x = 353,981.08/654.08
  6. Step 6: Final answer
    x = 541.19

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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.