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Finding the Fourth Proportional to 348.16, 519.50 and 311.84

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Solution

The fourth proportional to 348.16, 519.50 and 311.84 is: 465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 519.50 = 311.84 : x
  2. Step 2: Convert to fraction form
    348.16/519.50 = 311.84/x
  3. Step 3: Cross multiply
    348.16x = 519.50 × 311.84
  4. Step 4: Simplify right side
    348.16x = 162,000.88
  5. Step 5: Solve for x
    x = 162,000.88/348.16
  6. Step 6: Final answer
    x = 465.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.