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Finding the Fourth Proportional to 409.64, 614.50 and 135.77

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Solution

The fourth proportional to 409.64, 614.50 and 135.77 is: 203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.64 : 614.50 = 135.77 : x
  2. Step 2: Convert to fraction form
    409.64/614.50 = 135.77/x
  3. Step 3: Cross multiply
    409.64x = 614.50 × 135.77
  4. Step 4: Simplify right side
    409.64x = 83,431.86
  5. Step 5: Solve for x
    x = 83,431.86/409.64
  6. Step 6: Final answer
    x = 203.67

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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.