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Finding the Fourth Proportional to 478.21, 659.96 and 268.40

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Solution

The fourth proportional to 478.21, 659.96 and 268.40 is: 370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.21 : 659.96 = 268.40 : x
  2. Step 2: Convert to fraction form
    478.21/659.96 = 268.40/x
  3. Step 3: Cross multiply
    478.21x = 659.96 × 268.40
  4. Step 4: Simplify right side
    478.21x = 177,135.16
  5. Step 5: Solve for x
    x = 177,135.16/478.21
  6. Step 6: Final answer
    x = 370.41

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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.