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Finding the Fourth Proportional to 442.56, 610.74 and 295.14

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Solution

The fourth proportional to 442.56, 610.74 and 295.14 is: 407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 610.74 = 295.14 : x
  2. Step 2: Convert to fraction form
    442.56/610.74 = 295.14/x
  3. Step 3: Cross multiply
    442.56x = 610.74 × 295.14
  4. Step 4: Simplify right side
    442.56x = 180,253.80
  5. Step 5: Solve for x
    x = 180,253.80/442.56
  6. Step 6: Final answer
    x = 407.30

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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.