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Finding the Fourth Proportional to 976.07, 1,464.09 and 398.54

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Solution

The fourth proportional to 976.07, 1,464.09 and 398.54 is: 597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.07 : 1,464.09 = 398.54 : x
  2. Step 2: Convert to fraction form
    976.07/1,464.09 = 398.54/x
  3. Step 3: Cross multiply
    976.07x = 1,464.09 × 398.54
  4. Step 4: Simplify right side
    976.07x = 583,491.11
  5. Step 5: Solve for x
    x = 583,491.11/976.07
  6. Step 6: Final answer
    x = 597.80

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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.