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Finding the Fourth Proportional to 451.84, 622.84 and 347.36

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Solution

The fourth proportional to 451.84, 622.84 and 347.36 is: 478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.84 : 622.84 = 347.36 : x
  2. Step 2: Convert to fraction form
    451.84/622.84 = 347.36/x
  3. Step 3: Cross multiply
    451.84x = 622.84 × 347.36
  4. Step 4: Simplify right side
    451.84x = 216,349.70
  5. Step 5: Solve for x
    x = 216,349.70/451.84
  6. Step 6: Final answer
    x = 478.82

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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.