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Finding the Fourth Proportional to 555.20, 766.25 and 322.46

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Solution

The fourth proportional to 555.20, 766.25 and 322.46 is: 445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.20 : 766.25 = 322.46 : x
  2. Step 2: Convert to fraction form
    555.20/766.25 = 322.46/x
  3. Step 3: Cross multiply
    555.20x = 766.25 × 322.46
  4. Step 4: Simplify right side
    555.20x = 247,079.53
  5. Step 5: Solve for x
    x = 247,079.53/555.20
  6. Step 6: Final answer
    x = 445.03

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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.