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Finding the Fourth Proportional to 664.08, 916.32 and 398.46

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Solution

The fourth proportional to 664.08, 916.32 and 398.46 is: 549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.08 : 916.32 = 398.46 : x
  2. Step 2: Convert to fraction form
    664.08/916.32 = 398.46/x
  3. Step 3: Cross multiply
    664.08x = 916.32 × 398.46
  4. Step 4: Simplify right side
    664.08x = 365,116.87
  5. Step 5: Solve for x
    x = 365,116.87/664.08
  6. Step 6: Final answer
    x = 549.81

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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.