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Finding the Fourth Proportional to 664.43, 916.98 and 384.68

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Solution

The fourth proportional to 664.43, 916.98 and 384.68 is: 530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.43 : 916.98 = 384.68 : x
  2. Step 2: Convert to fraction form
    664.43/916.98 = 384.68/x
  3. Step 3: Cross multiply
    664.43x = 916.98 × 384.68
  4. Step 4: Simplify right side
    664.43x = 352,739.28
  5. Step 5: Solve for x
    x = 352,739.28/664.43
  6. Step 6: Final answer
    x = 530.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.