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Finding the Fourth Proportional to 478.29, 659.99 and 268.46

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Solution

The fourth proportional to 478.29, 659.99 and 268.46 is: 370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.29 : 659.99 = 268.46 : x
  2. Step 2: Convert to fraction form
    478.29/659.99 = 268.46/x
  3. Step 3: Cross multiply
    478.29x = 659.99 × 268.46
  4. Step 4: Simplify right side
    478.29x = 177,181.89
  5. Step 5: Solve for x
    x = 177,181.89/478.29
  6. Step 6: Final answer
    x = 370.45

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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.