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Finding the Fourth Proportional to 664.34, 916.77 and 384.58

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Solution

The fourth proportional to 664.34, 916.77 and 384.58 is: 530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.34 : 916.77 = 384.58 : x
  2. Step 2: Convert to fraction form
    664.34/916.77 = 384.58/x
  3. Step 3: Cross multiply
    664.34x = 916.77 × 384.58
  4. Step 4: Simplify right side
    664.34x = 352,571.83
  5. Step 5: Solve for x
    x = 352,571.83/664.34
  6. Step 6: Final answer
    x = 530.71

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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.