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Finding the Fourth Proportional to 654.42, 902.83 and 418.38

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Solution

The fourth proportional to 654.42, 902.83 and 418.38 is: 577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.42 : 902.83 = 418.38 : x
  2. Step 2: Convert to fraction form
    654.42/902.83 = 418.38/x
  3. Step 3: Cross multiply
    654.42x = 902.83 × 418.38
  4. Step 4: Simplify right side
    654.42x = 377,726.02
  5. Step 5: Solve for x
    x = 377,726.02/654.42
  6. Step 6: Final answer
    x = 577.19

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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.