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Finding the Fourth Proportional to 853.86, 1,281.02 and 306.08

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Solution

The fourth proportional to 853.86, 1,281.02 and 306.08 is: 459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.86 : 1,281.02 = 306.08 : x
  2. Step 2: Convert to fraction form
    853.86/1,281.02 = 306.08/x
  3. Step 3: Cross multiply
    853.86x = 1,281.02 × 306.08
  4. Step 4: Simplify right side
    853.86x = 392,094.60
  5. Step 5: Solve for x
    x = 392,094.60/853.86
  6. Step 6: Final answer
    x = 459.20

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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.