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Finding the Fourth Proportional to 466.76, 699.43 and 369.49

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Solution

The fourth proportional to 466.76, 699.43 and 369.49 is: 553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.76 : 699.43 = 369.49 : x
  2. Step 2: Convert to fraction form
    466.76/699.43 = 369.49/x
  3. Step 3: Cross multiply
    466.76x = 699.43 × 369.49
  4. Step 4: Simplify right side
    466.76x = 258,432.39
  5. Step 5: Solve for x
    x = 258,432.39/466.76
  6. Step 6: Final answer
    x = 553.67

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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.