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Finding the Fourth Proportional to 313.62, 470.78 and 235.60

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Solution

The fourth proportional to 313.62, 470.78 and 235.60 is: 353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 470.78 = 235.60 : x
  2. Step 2: Convert to fraction form
    313.62/470.78 = 235.60/x
  3. Step 3: Cross multiply
    313.62x = 470.78 × 235.60
  4. Step 4: Simplify right side
    313.62x = 110,915.77
  5. Step 5: Solve for x
    x = 110,915.77/313.62
  6. Step 6: Final answer
    x = 353.66

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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.