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Finding the Fourth Proportional to 663.96, 916.26 and 384.19

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Solution

The fourth proportional to 663.96, 916.26 and 384.19 is: 530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.96 : 916.26 = 384.19 : x
  2. Step 2: Convert to fraction form
    663.96/916.26 = 384.19/x
  3. Step 3: Cross multiply
    663.96x = 916.26 × 384.19
  4. Step 4: Simplify right side
    663.96x = 352,017.93
  5. Step 5: Solve for x
    x = 352,017.93/663.96
  6. Step 6: Final answer
    x = 530.18

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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.