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Finding the Fourth Proportional to 409.02, 614.07 and 235.86

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Solution

The fourth proportional to 409.02, 614.07 and 235.86 is: 354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.02 : 614.07 = 235.86 : x
  2. Step 2: Convert to fraction form
    409.02/614.07 = 235.86/x
  3. Step 3: Cross multiply
    409.02x = 614.07 × 235.86
  4. Step 4: Simplify right side
    409.02x = 144,834.55
  5. Step 5: Solve for x
    x = 144,834.55/409.02
  6. Step 6: Final answer
    x = 354.10

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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.