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Finding the Fourth Proportional to 853.71, 1,280.58 and 366.77

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Solution

The fourth proportional to 853.71, 1,280.58 and 366.77 is: 550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.71 : 1,280.58 = 366.77 : x
  2. Step 2: Convert to fraction form
    853.71/1,280.58 = 366.77/x
  3. Step 3: Cross multiply
    853.71x = 1,280.58 × 366.77
  4. Step 4: Simplify right side
    853.71x = 469,678.33
  5. Step 5: Solve for x
    x = 469,678.33/853.71
  6. Step 6: Final answer
    x = 550.16

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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.