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Finding the Fourth Proportional to 379.72, 568.95 and 340.98

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Solution

The fourth proportional to 379.72, 568.95 and 340.98 is: 510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.72 : 568.95 = 340.98 : x
  2. Step 2: Convert to fraction form
    379.72/568.95 = 340.98/x
  3. Step 3: Cross multiply
    379.72x = 568.95 × 340.98
  4. Step 4: Simplify right side
    379.72x = 194,000.57
  5. Step 5: Solve for x
    x = 194,000.57/379.72
  6. Step 6: Final answer
    x = 510.90

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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.