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Finding the Fourth Proportional to 664.02, 916.68 and 415.48

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Solution

The fourth proportional to 664.02, 916.68 and 415.48 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.02 : 916.68 = 415.48 : x
  2. Step 2: Convert to fraction form
    664.02/916.68 = 415.48/x
  3. Step 3: Cross multiply
    664.02x = 916.68 × 415.48
  4. Step 4: Simplify right side
    664.02x = 380,862.21
  5. Step 5: Solve for x
    x = 380,862.21/664.02
  6. Step 6: Final answer
    x = 573.57

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Why These Related Problems?

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