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Finding the Fourth Proportional to 558.66, 838 and 298.66

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Solution

The fourth proportional to 558.66, 838 and 298.66 is: 448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.66 : 838 = 298.66 : x
  2. Step 2: Convert to fraction form
    558.66/838 = 298.66/x
  3. Step 3: Cross multiply
    558.66x = 838 × 298.66
  4. Step 4: Simplify right side
    558.66x = 250,277.08
  5. Step 5: Solve for x
    x = 250,277.08/558.66
  6. Step 6: Final answer
    x = 448.00

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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.