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Finding the Fourth Proportional to 854.08, 1,281.36 and 367.00

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Solution

The fourth proportional to 854.08, 1,281.36 and 367.00 is: 550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.08 : 1,281.36 = 367.00 : x
  2. Step 2: Convert to fraction form
    854.08/1,281.36 = 367.00/x
  3. Step 3: Cross multiply
    854.08x = 1,281.36 × 367.00
  4. Step 4: Simplify right side
    854.08x = 470,260.72
  5. Step 5: Solve for x
    x = 470,260.72/854.08
  6. Step 6: Final answer
    x = 550.60

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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.