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Finding the Fourth Proportional to 558.37, 836.83 and 284.23

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Solution

The fourth proportional to 558.37, 836.83 and 284.23 is: 425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.37 : 836.83 = 284.23 : x
  2. Step 2: Convert to fraction form
    558.37/836.83 = 284.23/x
  3. Step 3: Cross multiply
    558.37x = 836.83 × 284.23
  4. Step 4: Simplify right side
    558.37x = 237,852.19
  5. Step 5: Solve for x
    x = 237,852.19/558.37
  6. Step 6: Final answer
    x = 425.98

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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.