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Finding the Fourth Proportional to 654.73, 902.95 and 418.42

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Solution

The fourth proportional to 654.73, 902.95 and 418.42 is: 577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.73 : 902.95 = 418.42 : x
  2. Step 2: Convert to fraction form
    654.73/902.95 = 418.42/x
  3. Step 3: Cross multiply
    654.73x = 902.95 × 418.42
  4. Step 4: Simplify right side
    654.73x = 377,807.34
  5. Step 5: Solve for x
    x = 377,807.34/654.73
  6. Step 6: Final answer
    x = 577.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.