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Finding the Fourth Proportional to 568.74, 853.16 and 363.46

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Solution

The fourth proportional to 568.74, 853.16 and 363.46 is: 545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.74 : 853.16 = 363.46 : x
  2. Step 2: Convert to fraction form
    568.74/853.16 = 363.46/x
  3. Step 3: Cross multiply
    568.74x = 853.16 × 363.46
  4. Step 4: Simplify right side
    568.74x = 310,089.53
  5. Step 5: Solve for x
    x = 310,089.53/568.74
  6. Step 6: Final answer
    x = 545.22

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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.