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Finding the Fourth Proportional to 518.94, 716.09 and 322.47

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Solution

The fourth proportional to 518.94, 716.09 and 322.47 is: 444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.94 : 716.09 = 322.47 : x
  2. Step 2: Convert to fraction form
    518.94/716.09 = 322.47/x
  3. Step 3: Cross multiply
    518.94x = 716.09 × 322.47
  4. Step 4: Simplify right side
    518.94x = 230,915.93
  5. Step 5: Solve for x
    x = 230,915.93/518.94
  6. Step 6: Final answer
    x = 444.98

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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.