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Finding the Fourth Proportional to 654.14, 903.01 and 418.41

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Solution

The fourth proportional to 654.14, 903.01 and 418.41 is: 577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.14 : 903.01 = 418.41 : x
  2. Step 2: Convert to fraction form
    654.14/903.01 = 418.41/x
  3. Step 3: Cross multiply
    654.14x = 903.01 × 418.41
  4. Step 4: Simplify right side
    654.14x = 377,828.41
  5. Step 5: Solve for x
    x = 377,828.41/654.14
  6. Step 6: Final answer
    x = 577.60

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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.