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Finding the Fourth Proportional to 384.22, 575.70 and 345.52

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Solution

The fourth proportional to 384.22, 575.70 and 345.52 is: 517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.22 : 575.70 = 345.52 : x
  2. Step 2: Convert to fraction form
    384.22/575.70 = 345.52/x
  3. Step 3: Cross multiply
    384.22x = 575.70 × 345.52
  4. Step 4: Simplify right side
    384.22x = 198,915.86
  5. Step 5: Solve for x
    x = 198,915.86/384.22
  6. Step 6: Final answer
    x = 517.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.