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Finding the Fourth Proportional to 664.40, 916.26 and 415.46

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Solution

The fourth proportional to 664.40, 916.26 and 415.46 is: 572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.40 : 916.26 = 415.46 : x
  2. Step 2: Convert to fraction form
    664.40/916.26 = 415.46/x
  3. Step 3: Cross multiply
    664.40x = 916.26 × 415.46
  4. Step 4: Simplify right side
    664.40x = 380,669.38
  5. Step 5: Solve for x
    x = 380,669.38/664.40
  6. Step 6: Final answer
    x = 572.95

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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.