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Finding the Fourth Proportional to 605.35, 835.25 and 384.22

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Solution

The fourth proportional to 605.35, 835.25 and 384.22 is: 530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.35 : 835.25 = 384.22 : x
  2. Step 2: Convert to fraction form
    605.35/835.25 = 384.22/x
  3. Step 3: Cross multiply
    605.35x = 835.25 × 384.22
  4. Step 4: Simplify right side
    605.35x = 320,919.76
  5. Step 5: Solve for x
    x = 320,919.76/605.35
  6. Step 6: Final answer
    x = 530.14

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Why These Related Problems?

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