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Finding the Fourth Proportional to 654.64, 902.92 and 421.36

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Solution

The fourth proportional to 654.64, 902.92 and 421.36 is: 581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.64 : 902.92 = 421.36 : x
  2. Step 2: Convert to fraction form
    654.64/902.92 = 421.36/x
  3. Step 3: Cross multiply
    654.64x = 902.92 × 421.36
  4. Step 4: Simplify right side
    654.64x = 380,454.37
  5. Step 5: Solve for x
    x = 380,454.37/654.64
  6. Step 6: Final answer
    x = 581.17

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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.