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Finding the Fourth Proportional to 568.02, 849.84 and 384.54

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Solution

The fourth proportional to 568.02, 849.84 and 384.54 is: 575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.02 : 849.84 = 384.54 : x
  2. Step 2: Convert to fraction form
    568.02/849.84 = 384.54/x
  3. Step 3: Cross multiply
    568.02x = 849.84 × 384.54
  4. Step 4: Simplify right side
    568.02x = 326,797.47
  5. Step 5: Solve for x
    x = 326,797.47/568.02
  6. Step 6: Final answer
    x = 575.33

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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.