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Finding the Fourth Proportional to 334.16, 504.14 and 319.04

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Solution

The fourth proportional to 334.16, 504.14 and 319.04 is: 481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.16 : 504.14 = 319.04 : x
  2. Step 2: Convert to fraction form
    334.16/504.14 = 319.04/x
  3. Step 3: Cross multiply
    334.16x = 504.14 × 319.04
  4. Step 4: Simplify right side
    334.16x = 160,840.83
  5. Step 5: Solve for x
    x = 160,840.83/334.16
  6. Step 6: Final answer
    x = 481.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.