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Finding the Fourth Proportional to 664.02, 916.12 and 415.25

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Solution

The fourth proportional to 664.02, 916.12 and 415.25 is: 572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.02 : 916.12 = 415.25 : x
  2. Step 2: Convert to fraction form
    664.02/916.12 = 415.25/x
  3. Step 3: Cross multiply
    664.02x = 916.12 × 415.25
  4. Step 4: Simplify right side
    664.02x = 380,418.83
  5. Step 5: Solve for x
    x = 380,418.83/664.02
  6. Step 6: Final answer
    x = 572.90

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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.