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Finding the Fourth Proportional to 383.85, 529.98 and 314.73

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Solution

The fourth proportional to 383.85, 529.98 and 314.73 is: 434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.85 : 529.98 = 314.73 : x
  2. Step 2: Convert to fraction form
    383.85/529.98 = 314.73/x
  3. Step 3: Cross multiply
    383.85x = 529.98 × 314.73
  4. Step 4: Simplify right side
    383.85x = 166,800.61
  5. Step 5: Solve for x
    x = 166,800.61/383.85
  6. Step 6: Final answer
    x = 434.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.