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Finding the Fourth Proportional to 558.99, 838.49 and 216.75

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Solution

The fourth proportional to 558.99, 838.49 and 216.75 is: 325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.99 : 838.49 = 216.75 : x
  2. Step 2: Convert to fraction form
    558.99/838.49 = 216.75/x
  3. Step 3: Cross multiply
    558.99x = 838.49 × 216.75
  4. Step 4: Simplify right side
    558.99x = 181,741.62
  5. Step 5: Solve for x
    x = 181,741.62/558.99
  6. Step 6: Final answer
    x = 325.13

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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.