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Finding the Fourth Proportional to 330.83, 497.36 and 270.40

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Solution

The fourth proportional to 330.83, 497.36 and 270.40 is: 406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.83 : 497.36 = 270.40 : x
  2. Step 2: Convert to fraction form
    330.83/497.36 = 270.40/x
  3. Step 3: Cross multiply
    330.83x = 497.36 × 270.40
  4. Step 4: Simplify right side
    330.83x = 134,484.33
  5. Step 5: Solve for x
    x = 134,484.33/330.83
  6. Step 6: Final answer
    x = 406.51

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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.