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Finding the Fourth Proportional to 558.36, 836.98 and 414.72

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Solution

The fourth proportional to 558.36, 836.98 and 414.72 is: 621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.36 : 836.98 = 414.72 : x
  2. Step 2: Convert to fraction form
    558.36/836.98 = 414.72/x
  3. Step 3: Cross multiply
    558.36x = 836.98 × 414.72
  4. Step 4: Simplify right side
    558.36x = 347,112.35
  5. Step 5: Solve for x
    x = 347,112.35/558.36
  6. Step 6: Final answer
    x = 621.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.