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Finding the Fourth Proportional to 558.21, 836.46 and 442.17

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Solution

The fourth proportional to 558.21, 836.46 and 442.17 is: 662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.21 : 836.46 = 442.17 : x
  2. Step 2: Convert to fraction form
    558.21/836.46 = 442.17/x
  3. Step 3: Cross multiply
    558.21x = 836.46 × 442.17
  4. Step 4: Simplify right side
    558.21x = 369,853.34
  5. Step 5: Solve for x
    x = 369,853.34/558.21
  6. Step 6: Final answer
    x = 662.58

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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.