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Finding the Fourth Proportional to 348.95, 523.55 and 314.55

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Solution

The fourth proportional to 348.95, 523.55 and 314.55 is: 471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.95 : 523.55 = 314.55 : x
  2. Step 2: Convert to fraction form
    348.95/523.55 = 314.55/x
  3. Step 3: Cross multiply
    348.95x = 523.55 × 314.55
  4. Step 4: Simplify right side
    348.95x = 164,683.44
  5. Step 5: Solve for x
    x = 164,683.44/348.95
  6. Step 6: Final answer
    x = 471.94

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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.