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Finding the Fourth Proportional to 916.10, 1,374.32 and 299.84

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Solution

The fourth proportional to 916.10, 1,374.32 and 299.84 is: 449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.10 : 1,374.32 = 299.84 : x
  2. Step 2: Convert to fraction form
    916.10/1,374.32 = 299.84/x
  3. Step 3: Cross multiply
    916.10x = 1,374.32 × 299.84
  4. Step 4: Simplify right side
    916.10x = 412,080.29
  5. Step 5: Solve for x
    x = 412,080.29/916.10
  6. Step 6: Final answer
    x = 449.82

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Why These Related Problems?

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