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Finding the Fourth Proportional to 609.66, 914.71 and 366.36

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Solution

The fourth proportional to 609.66, 914.71 and 366.36 is: 549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.66 : 914.71 = 366.36 : x
  2. Step 2: Convert to fraction form
    609.66/914.71 = 366.36/x
  3. Step 3: Cross multiply
    609.66x = 914.71 × 366.36
  4. Step 4: Simplify right side
    609.66x = 335,108.58
  5. Step 5: Solve for x
    x = 335,108.58/609.66
  6. Step 6: Final answer
    x = 549.67

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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.