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Finding the Fourth Proportional to 854.37, 1,281.75 and 306.51

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Solution

The fourth proportional to 854.37, 1,281.75 and 306.51 is: 459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.37 : 1,281.75 = 306.51 : x
  2. Step 2: Convert to fraction form
    854.37/1,281.75 = 306.51/x
  3. Step 3: Cross multiply
    854.37x = 1,281.75 × 306.51
  4. Step 4: Simplify right side
    854.37x = 392,869.19
  5. Step 5: Solve for x
    x = 392,869.19/854.37
  6. Step 6: Final answer
    x = 459.83

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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.