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Finding the Fourth Proportional to 664, 916.48 and 480.32

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Solution

The fourth proportional to 664, 916.48 and 480.32 is: 662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    664 : 916.48 = 480.32 : x
  2. Step 2: Convert to fraction form
    664/916.48 = 480.32/x
  3. Step 3: Cross multiply
    664x = 916.48 × 480.32
  4. Step 4: Simplify right side
    664x = 440,203.67
  5. Step 5: Solve for x
    x = 440,203.67/664
  6. Step 6: Final answer
    x = 662.96

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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.