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Finding the Fourth Proportional to 478.19, 659.84 and 268.36

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Solution

The fourth proportional to 478.19, 659.84 and 268.36 is: 370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.19 : 659.84 = 268.36 : x
  2. Step 2: Convert to fraction form
    478.19/659.84 = 268.36/x
  3. Step 3: Cross multiply
    478.19x = 659.84 × 268.36
  4. Step 4: Simplify right side
    478.19x = 177,071.67
  5. Step 5: Solve for x
    x = 177,071.67/478.19
  6. Step 6: Final answer
    x = 370.29

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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.