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Finding the Fourth Proportional to 605.10, 835.18 and 384.32

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Solution

The fourth proportional to 605.10, 835.18 and 384.32 is: 530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.10 : 835.18 = 384.32 : x
  2. Step 2: Convert to fraction form
    605.10/835.18 = 384.32/x
  3. Step 3: Cross multiply
    605.10x = 835.18 × 384.32
  4. Step 4: Simplify right side
    605.10x = 320,976.38
  5. Step 5: Solve for x
    x = 320,976.38/605.10
  6. Step 6: Final answer
    x = 530.45

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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.