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Finding the Fourth Proportional to 558.09, 770.25 and 325.21

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Solution

The fourth proportional to 558.09, 770.25 and 325.21 is: 448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.09 : 770.25 = 325.21 : x
  2. Step 2: Convert to fraction form
    558.09/770.25 = 325.21/x
  3. Step 3: Cross multiply
    558.09x = 770.25 × 325.21
  4. Step 4: Simplify right side
    558.09x = 250,493.00
  5. Step 5: Solve for x
    x = 250,493.00/558.09
  6. Step 6: Final answer
    x = 448.84

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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.