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Finding the Fourth Proportional to 360.98, 497.84 and 278.30

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Solution

The fourth proportional to 360.98, 497.84 and 278.30 is: 383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.98 : 497.84 = 278.30 : x
  2. Step 2: Convert to fraction form
    360.98/497.84 = 278.30/x
  3. Step 3: Cross multiply
    360.98x = 497.84 × 278.30
  4. Step 4: Simplify right side
    360.98x = 138,548.87
  5. Step 5: Solve for x
    x = 138,548.87/360.98
  6. Step 6: Final answer
    x = 383.81

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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.