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Finding the Fourth Proportional to 442.12, 610.38 and 295.24

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Solution

The fourth proportional to 442.12, 610.38 and 295.24 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.12 : 610.38 = 295.24 : x
  2. Step 2: Convert to fraction form
    442.12/610.38 = 295.24/x
  3. Step 3: Cross multiply
    442.12x = 610.38 × 295.24
  4. Step 4: Simplify right side
    442.12x = 180,208.59
  5. Step 5: Solve for x
    x = 180,208.59/442.12
  6. Step 6: Final answer
    x = 407.60

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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.