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Finding the Fourth Proportional to 611.82, 916.65 and 428.58

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Solution

The fourth proportional to 611.82, 916.65 and 428.58 is: 642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.82 : 916.65 = 428.58 : x
  2. Step 2: Convert to fraction form
    611.82/916.65 = 428.58/x
  3. Step 3: Cross multiply
    611.82x = 916.65 × 428.58
  4. Step 4: Simplify right side
    611.82x = 392,857.86
  5. Step 5: Solve for x
    x = 392,857.86/611.82
  6. Step 6: Final answer
    x = 642.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.