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Finding the Fourth Proportional to 558.41, 836.30 and 442.08

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Solution

The fourth proportional to 558.41, 836.30 and 442.08 is: 662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.41 : 836.30 = 442.08 : x
  2. Step 2: Convert to fraction form
    558.41/836.30 = 442.08/x
  3. Step 3: Cross multiply
    558.41x = 836.30 × 442.08
  4. Step 4: Simplify right side
    558.41x = 369,709.29
  5. Step 5: Solve for x
    x = 369,709.29/558.41
  6. Step 6: Final answer
    x = 662.08

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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.