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Finding the Fourth Proportional to 450.93, 622.85 and 409.35

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Solution

The fourth proportional to 450.93, 622.85 and 409.35 is: 565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.93 : 622.85 = 409.35 : x
  2. Step 2: Convert to fraction form
    450.93/622.85 = 409.35/x
  3. Step 3: Cross multiply
    450.93x = 622.85 × 409.35
  4. Step 4: Simplify right side
    450.93x = 254,961.60
  5. Step 5: Solve for x
    x = 254,961.60/450.93
  6. Step 6: Final answer
    x = 565.41

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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.