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Finding the Fourth Proportional to 294.57, 442.80 and 273.15

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Solution

The fourth proportional to 294.57, 442.80 and 273.15 is: 410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.57 : 442.80 = 273.15 : x
  2. Step 2: Convert to fraction form
    294.57/442.80 = 273.15/x
  3. Step 3: Cross multiply
    294.57x = 442.80 × 273.15
  4. Step 4: Simplify right side
    294.57x = 120,950.82
  5. Step 5: Solve for x
    x = 120,950.82/294.57
  6. Step 6: Final answer
    x = 410.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.