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Finding the Fourth Proportional to 664.54, 916.95 and 443.14

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Solution

The fourth proportional to 664.54, 916.95 and 443.14 is: 611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.54 : 916.95 = 443.14 : x
  2. Step 2: Convert to fraction form
    664.54/916.95 = 443.14/x
  3. Step 3: Cross multiply
    664.54x = 916.95 × 443.14
  4. Step 4: Simplify right side
    664.54x = 406,337.22
  5. Step 5: Solve for x
    x = 406,337.22/664.54
  6. Step 6: Final answer
    x = 611.46

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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.