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Finding the Fourth Proportional to 664.12, 916.10 and 398.49

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Solution

The fourth proportional to 664.12, 916.10 and 398.49 is: 549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.12 : 916.10 = 398.49 : x
  2. Step 2: Convert to fraction form
    664.12/916.10 = 398.49/x
  3. Step 3: Cross multiply
    664.12x = 916.10 × 398.49
  4. Step 4: Simplify right side
    664.12x = 365,052.11
  5. Step 5: Solve for x
    x = 365,052.11/664.12
  6. Step 6: Final answer
    x = 549.68

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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.