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Finding the Fourth Proportional to 916.27, 1,374.63 and 361.02

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Solution

The fourth proportional to 916.27, 1,374.63 and 361.02 is: 541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.27 : 1,374.63 = 361.02 : x
  2. Step 2: Convert to fraction form
    916.27/1,374.63 = 361.02/x
  3. Step 3: Cross multiply
    916.27x = 1,374.63 × 361.02
  4. Step 4: Simplify right side
    916.27x = 496,262.95
  5. Step 5: Solve for x
    x = 496,262.95/916.27
  6. Step 6: Final answer
    x = 541.61

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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.