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Finding the Fourth Proportional to 442.10, 610.40 and 405.12

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Solution

The fourth proportional to 442.10, 610.40 and 405.12 is: 559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.10 : 610.40 = 405.12 : x
  2. Step 2: Convert to fraction form
    442.10/610.40 = 405.12/x
  3. Step 3: Cross multiply
    442.10x = 610.40 × 405.12
  4. Step 4: Simplify right side
    442.10x = 247,285.25
  5. Step 5: Solve for x
    x = 247,285.25/442.10
  6. Step 6: Final answer
    x = 559.34

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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.