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Finding the Fourth Proportional to 664, 916.32 and 388

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Solution

The fourth proportional to 664, 916.32 and 388 is: 535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    664 : 916.32 = 388 : x
  2. Step 2: Convert to fraction form
    664/916.32 = 388/x
  3. Step 3: Cross multiply
    664x = 916.32 × 388
  4. Step 4: Simplify right side
    664x = 355,532.16
  5. Step 5: Solve for x
    x = 355,532.16/664
  6. Step 6: Final answer
    x = 535.44

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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.