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Finding the Fourth Proportional to 916.77, 1,374.77 and 361.39

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Solution

The fourth proportional to 916.77, 1,374.77 and 361.39 is: 541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.77 : 1,374.77 = 361.39 : x
  2. Step 2: Convert to fraction form
    916.77/1,374.77 = 361.39/x
  3. Step 3: Cross multiply
    916.77x = 1,374.77 × 361.39
  4. Step 4: Simplify right side
    916.77x = 496,830.66
  5. Step 5: Solve for x
    x = 496,830.66/916.77
  6. Step 6: Final answer
    x = 541.94

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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.