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Finding the Fourth Proportional to 478.16, 659.84 and 268.32

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Solution

The fourth proportional to 478.16, 659.84 and 268.32 is: 370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.16 : 659.84 = 268.32 : x
  2. Step 2: Convert to fraction form
    478.16/659.84 = 268.32/x
  3. Step 3: Cross multiply
    478.16x = 659.84 × 268.32
  4. Step 4: Simplify right side
    478.16x = 177,048.27
  5. Step 5: Solve for x
    x = 177,048.27/478.16
  6. Step 6: Final answer
    x = 370.27

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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.