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Finding the Fourth Proportional to 664.07, 916.49 and 384.29

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Solution

The fourth proportional to 664.07, 916.49 and 384.29 is: 530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.07 : 916.49 = 384.29 : x
  2. Step 2: Convert to fraction form
    664.07/916.49 = 384.29/x
  3. Step 3: Cross multiply
    664.07x = 916.49 × 384.29
  4. Step 4: Simplify right side
    664.07x = 352,201.83
  5. Step 5: Solve for x
    x = 352,201.83/664.07
  6. Step 6: Final answer
    x = 530.37

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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.