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Finding the Fourth Proportional to 348.64, 523.23 and 202.53

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Solution

The fourth proportional to 348.64, 523.23 and 202.53 is: 303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.64 : 523.23 = 202.53 : x
  2. Step 2: Convert to fraction form
    348.64/523.23 = 202.53/x
  3. Step 3: Cross multiply
    348.64x = 523.23 × 202.53
  4. Step 4: Simplify right side
    348.64x = 105,966.56
  5. Step 5: Solve for x
    x = 105,966.56/348.64
  6. Step 6: Final answer
    x = 303.94

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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.