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Finding the Fourth Proportional to 483.84, 724.61 and 380.30

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Solution

The fourth proportional to 483.84, 724.61 and 380.30 is: 569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.84 : 724.61 = 380.30 : x
  2. Step 2: Convert to fraction form
    483.84/724.61 = 380.30/x
  3. Step 3: Cross multiply
    483.84x = 724.61 × 380.30
  4. Step 4: Simplify right side
    483.84x = 275,566.51
  5. Step 5: Solve for x
    x = 275,566.51/483.84
  6. Step 6: Final answer
    x = 569.54

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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.