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Finding the Fourth Proportional to 654.59, 903.33 and 374.81

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Solution

The fourth proportional to 654.59, 903.33 and 374.81 is: 517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.59 : 903.33 = 374.81 : x
  2. Step 2: Convert to fraction form
    654.59/903.33 = 374.81/x
  3. Step 3: Cross multiply
    654.59x = 903.33 × 374.81
  4. Step 4: Simplify right side
    654.59x = 338,577.12
  5. Step 5: Solve for x
    x = 338,577.12/654.59
  6. Step 6: Final answer
    x = 517.24

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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.