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Finding the Fourth Proportional to 374.54, 561.04 and 343.04

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Solution

The fourth proportional to 374.54, 561.04 and 343.04 is: 513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.54 : 561.04 = 343.04 : x
  2. Step 2: Convert to fraction form
    374.54/561.04 = 343.04/x
  3. Step 3: Cross multiply
    374.54x = 561.04 × 343.04
  4. Step 4: Simplify right side
    374.54x = 192,455.50
  5. Step 5: Solve for x
    x = 192,455.50/374.54
  6. Step 6: Final answer
    x = 513.85

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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.