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Finding the Fourth Proportional to 558.76, 838.29 and 298.75

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Solution

The fourth proportional to 558.76, 838.29 and 298.75 is: 448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.76 : 838.29 = 298.75 : x
  2. Step 2: Convert to fraction form
    558.76/838.29 = 298.75/x
  3. Step 3: Cross multiply
    558.76x = 838.29 × 298.75
  4. Step 4: Simplify right side
    558.76x = 250,439.14
  5. Step 5: Solve for x
    x = 250,439.14/558.76
  6. Step 6: Final answer
    x = 448.21

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Why These Related Problems?

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