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Finding the Fourth Proportional to 568.50, 853.14 and 308.58

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Solution

The fourth proportional to 568.50, 853.14 and 308.58 is: 463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.50 : 853.14 = 308.58 : x
  2. Step 2: Convert to fraction form
    568.50/853.14 = 308.58/x
  3. Step 3: Cross multiply
    568.50x = 853.14 × 308.58
  4. Step 4: Simplify right side
    568.50x = 263,261.94
  5. Step 5: Solve for x
    x = 263,261.94/568.50
  6. Step 6: Final answer
    x = 463.08

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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.