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Finding the Fourth Proportional to 605.88, 836.07 and 384.75

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Solution

The fourth proportional to 605.88, 836.07 and 384.75 is: 530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.88 : 836.07 = 384.75 : x
  2. Step 2: Convert to fraction form
    605.88/836.07 = 384.75/x
  3. Step 3: Cross multiply
    605.88x = 836.07 × 384.75
  4. Step 4: Simplify right side
    605.88x = 321,676.01
  5. Step 5: Solve for x
    x = 321,676.01/605.88
  6. Step 6: Final answer
    x = 530.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.