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Finding the Fourth Proportional to 415, 622.50 and 409.60

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Solution

The fourth proportional to 415, 622.50 and 409.60 is: 614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 622.50 = 409.60 : x
  2. Step 2: Convert to fraction form
    415/622.50 = 409.60/x
  3. Step 3: Cross multiply
    415x = 622.50 × 409.60
  4. Step 4: Simplify right side
    415x = 254,976
  5. Step 5: Solve for x
    x = 254,976/415
  6. Step 6: Final answer
    x = 614.40

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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.