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Finding the Fourth Proportional to 654.08, 902.34 and 405.51

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Solution

The fourth proportional to 654.08, 902.34 and 405.51 is: 559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.08 : 902.34 = 405.51 : x
  2. Step 2: Convert to fraction form
    654.08/902.34 = 405.51/x
  3. Step 3: Cross multiply
    654.08x = 902.34 × 405.51
  4. Step 4: Simplify right side
    654.08x = 365,904.51
  5. Step 5: Solve for x
    x = 365,904.51/654.08
  6. Step 6: Final answer
    x = 559.42

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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.