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Finding the Fourth Proportional to 605.16, 834.84 and 384.45

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Solution

The fourth proportional to 605.16, 834.84 and 384.45 is: 530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 834.84 = 384.45 : x
  2. Step 2: Convert to fraction form
    605.16/834.84 = 384.45/x
  3. Step 3: Cross multiply
    605.16x = 834.84 × 384.45
  4. Step 4: Simplify right side
    605.16x = 320,954.24
  5. Step 5: Solve for x
    x = 320,954.24/605.16
  6. Step 6: Final answer
    x = 530.36

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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.