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Finding the Fourth Proportional to 558.47, 838.21 and 298.69

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Solution

The fourth proportional to 558.47, 838.21 and 298.69 is: 448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.47 : 838.21 = 298.69 : x
  2. Step 2: Convert to fraction form
    558.47/838.21 = 298.69/x
  3. Step 3: Cross multiply
    558.47x = 838.21 × 298.69
  4. Step 4: Simplify right side
    558.47x = 250,364.94
  5. Step 5: Solve for x
    x = 250,364.94/558.47
  6. Step 6: Final answer
    x = 448.31

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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.