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Finding the Fourth Proportional to 664.24, 916.48 and 384.43

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Solution

The fourth proportional to 664.24, 916.48 and 384.43 is: 530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.24 : 916.48 = 384.43 : x
  2. Step 2: Convert to fraction form
    664.24/916.48 = 384.43/x
  3. Step 3: Cross multiply
    664.24x = 916.48 × 384.43
  4. Step 4: Simplify right side
    664.24x = 352,322.41
  5. Step 5: Solve for x
    x = 352,322.41/664.24
  6. Step 6: Final answer
    x = 530.41

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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.