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Finding the Fourth Proportional to 854.60, 1,281.96 and 367.58

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Solution

The fourth proportional to 854.60, 1,281.96 and 367.58 is: 551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.60 : 1,281.96 = 367.58 : x
  2. Step 2: Convert to fraction form
    854.60/1,281.96 = 367.58/x
  3. Step 3: Cross multiply
    854.60x = 1,281.96 × 367.58
  4. Step 4: Simplify right side
    854.60x = 471,222.86
  5. Step 5: Solve for x
    x = 471,222.86/854.60
  6. Step 6: Final answer
    x = 551.40

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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.