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Finding the Fourth Proportional to 568.37, 853.54 and 338.70

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Solution

The fourth proportional to 568.37, 853.54 and 338.70 is: 508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.37 : 853.54 = 338.70 : x
  2. Step 2: Convert to fraction form
    568.37/853.54 = 338.70/x
  3. Step 3: Cross multiply
    568.37x = 853.54 × 338.70
  4. Step 4: Simplify right side
    568.37x = 289,094.00
  5. Step 5: Solve for x
    x = 289,094.00/568.37
  6. Step 6: Final answer
    x = 508.64

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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.