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Finding the Fourth Proportional to 853.48, 1,280.76 and 367.21

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Solution

The fourth proportional to 853.48, 1,280.76 and 367.21 is: 551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.48 : 1,280.76 = 367.21 : x
  2. Step 2: Convert to fraction form
    853.48/1,280.76 = 367.21/x
  3. Step 3: Cross multiply
    853.48x = 1,280.76 × 367.21
  4. Step 4: Simplify right side
    853.48x = 470,307.88
  5. Step 5: Solve for x
    x = 470,307.88/853.48
  6. Step 6: Final answer
    x = 551.05

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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.