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Finding the Fourth Proportional to 853.94, 1,281.33 and 306.17

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Solution

The fourth proportional to 853.94, 1,281.33 and 306.17 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.94 : 1,281.33 = 306.17 : x
  2. Step 2: Convert to fraction form
    853.94/1,281.33 = 306.17/x
  3. Step 3: Cross multiply
    853.94x = 1,281.33 × 306.17
  4. Step 4: Simplify right side
    853.94x = 392,301.83
  5. Step 5: Solve for x
    x = 392,301.83/853.94
  6. Step 6: Final answer
    x = 459.40

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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.