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Finding the Fourth Proportional to 558.33, 838.27 and 284.61

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Solution

The fourth proportional to 558.33, 838.27 and 284.61 is: 427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.33 : 838.27 = 284.61 : x
  2. Step 2: Convert to fraction form
    558.33/838.27 = 284.61/x
  3. Step 3: Cross multiply
    558.33x = 838.27 × 284.61
  4. Step 4: Simplify right side
    558.33x = 238,582.46
  5. Step 5: Solve for x
    x = 238,582.46/558.33
  6. Step 6: Final answer
    x = 427.31

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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.