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Finding the Fourth Proportional to 854.32, 1,281.66 and 306.68

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Solution

The fourth proportional to 854.32, 1,281.66 and 306.68 is: 460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.32 : 1,281.66 = 306.68 : x
  2. Step 2: Convert to fraction form
    854.32/1,281.66 = 306.68/x
  3. Step 3: Cross multiply
    854.32x = 1,281.66 × 306.68
  4. Step 4: Simplify right side
    854.32x = 393,059.49
  5. Step 5: Solve for x
    x = 393,059.49/854.32
  6. Step 6: Final answer
    x = 460.08

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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.