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Finding the Fourth Proportional to 450.90, 622.59 and 345.82

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Solution

The fourth proportional to 450.90, 622.59 and 345.82 is: 477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.90 : 622.59 = 345.82 : x
  2. Step 2: Convert to fraction form
    450.90/622.59 = 345.82/x
  3. Step 3: Cross multiply
    450.90x = 622.59 × 345.82
  4. Step 4: Simplify right side
    450.90x = 215,304.72
  5. Step 5: Solve for x
    x = 215,304.72/450.90
  6. Step 6: Final answer
    x = 477.50

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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.