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Finding the Fourth Proportional to 664.03, 916.41 and 384.29

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Solution

The fourth proportional to 664.03, 916.41 and 384.29 is: 530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.03 : 916.41 = 384.29 : x
  2. Step 2: Convert to fraction form
    664.03/916.41 = 384.29/x
  3. Step 3: Cross multiply
    664.03x = 916.41 × 384.29
  4. Step 4: Simplify right side
    664.03x = 352,167.20
  5. Step 5: Solve for x
    x = 352,167.20/664.03
  6. Step 6: Final answer
    x = 530.35

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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.