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Finding the Fourth Proportional to 518.08, 776.93 and 322.80

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Solution

The fourth proportional to 518.08, 776.93 and 322.80 is: 484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.08 : 776.93 = 322.80 : x
  2. Step 2: Convert to fraction form
    518.08/776.93 = 322.80/x
  3. Step 3: Cross multiply
    518.08x = 776.93 × 322.80
  4. Step 4: Simplify right side
    518.08x = 250,787.51
  5. Step 5: Solve for x
    x = 250,787.51/518.08
  6. Step 6: Final answer
    x = 484.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.