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Finding the Fourth Proportional to 451.43, 622.98 and 304.10

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Solution

The fourth proportional to 451.43, 622.98 and 304.10 is: 419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.43 : 622.98 = 304.10 : x
  2. Step 2: Convert to fraction form
    451.43/622.98 = 304.10/x
  3. Step 3: Cross multiply
    451.43x = 622.98 × 304.10
  4. Step 4: Simplify right side
    451.43x = 189,445.10
  5. Step 5: Solve for x
    x = 189,445.10/451.43
  6. Step 6: Final answer
    x = 419.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.