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Finding the Fourth Proportional to 379, 565.43 and 342.55

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Solution

The fourth proportional to 379, 565.43 and 342.55 is: 511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379 : 565.43 = 342.55 : x
  2. Step 2: Convert to fraction form
    379/565.43 = 342.55/x
  3. Step 3: Cross multiply
    379x = 565.43 × 342.55
  4. Step 4: Simplify right side
    379x = 193,688.05
  5. Step 5: Solve for x
    x = 193,688.05/379
  6. Step 6: Final answer
    x = 511.05

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Why These Related Problems?

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