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Finding the Fourth Proportional to 292.56, 438.84 and 278.54

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Solution

The fourth proportional to 292.56, 438.84 and 278.54 is: 417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.56 : 438.84 = 278.54 : x
  2. Step 2: Convert to fraction form
    292.56/438.84 = 278.54/x
  3. Step 3: Cross multiply
    292.56x = 438.84 × 278.54
  4. Step 4: Simplify right side
    292.56x = 122,234.49
  5. Step 5: Solve for x
    x = 122,234.49/292.56
  6. Step 6: Final answer
    x = 417.81

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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.