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Finding the Fourth Proportional to 662.59, 914.40 and 367.87

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Solution

The fourth proportional to 662.59, 914.40 and 367.87 is: 507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.59 : 914.40 = 367.87 : x
  2. Step 2: Convert to fraction form
    662.59/914.40 = 367.87/x
  3. Step 3: Cross multiply
    662.59x = 914.40 × 367.87
  4. Step 4: Simplify right side
    662.59x = 336,380.33
  5. Step 5: Solve for x
    x = 336,380.33/662.59
  6. Step 6: Final answer
    x = 507.67

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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.