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Finding the Fourth Proportional to 293.80, 438.53 and 275.56

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Solution

The fourth proportional to 293.80, 438.53 and 275.56 is: 411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.80 : 438.53 = 275.56 : x
  2. Step 2: Convert to fraction form
    293.80/438.53 = 275.56/x
  3. Step 3: Cross multiply
    293.80x = 438.53 × 275.56
  4. Step 4: Simplify right side
    293.80x = 120,841.33
  5. Step 5: Solve for x
    x = 120,841.33/293.80
  6. Step 6: Final answer
    x = 411.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.