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Finding the Fourth Proportional to 916.18, 1,374.40 and 299.69

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Solution

The fourth proportional to 916.18, 1,374.40 and 299.69 is: 449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.18 : 1,374.40 = 299.69 : x
  2. Step 2: Convert to fraction form
    916.18/1,374.40 = 299.69/x
  3. Step 3: Cross multiply
    916.18x = 1,374.40 × 299.69
  4. Step 4: Simplify right side
    916.18x = 411,893.94
  5. Step 5: Solve for x
    x = 411,893.94/916.18
  6. Step 6: Final answer
    x = 449.58

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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.