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Finding the Fourth Proportional to 664.53, 916.59 and 540.19

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Solution

The fourth proportional to 664.53, 916.59 and 540.19 is: 745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.53 : 916.59 = 540.19 : x
  2. Step 2: Convert to fraction form
    664.53/916.59 = 540.19/x
  3. Step 3: Cross multiply
    664.53x = 916.59 × 540.19
  4. Step 4: Simplify right side
    664.53x = 495,132.75
  5. Step 5: Solve for x
    x = 495,132.75/664.53
  6. Step 6: Final answer
    x = 745.09

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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.