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Finding the Fourth Proportional to 450.81, 622.02 and 259.13

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Solution

The fourth proportional to 450.81, 622.02 and 259.13 is: 357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.81 : 622.02 = 259.13 : x
  2. Step 2: Convert to fraction form
    450.81/622.02 = 259.13/x
  3. Step 3: Cross multiply
    450.81x = 622.02 × 259.13
  4. Step 4: Simplify right side
    450.81x = 161,184.04
  5. Step 5: Solve for x
    x = 161,184.04/450.81
  6. Step 6: Final answer
    x = 357.54

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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.