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Finding the Fourth Proportional to 558.45, 836.26 and 313.83

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Solution

The fourth proportional to 558.45, 836.26 and 313.83 is: 469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.45 : 836.26 = 313.83 : x
  2. Step 2: Convert to fraction form
    558.45/836.26 = 313.83/x
  3. Step 3: Cross multiply
    558.45x = 836.26 × 313.83
  4. Step 4: Simplify right side
    558.45x = 262,442.69
  5. Step 5: Solve for x
    x = 262,442.69/558.45
  6. Step 6: Final answer
    x = 469.95

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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.