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Finding the Fourth Proportional to 338.36, 505.05 and 314.26

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Solution

The fourth proportional to 338.36, 505.05 and 314.26 is: 469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.36 : 505.05 = 314.26 : x
  2. Step 2: Convert to fraction form
    338.36/505.05 = 314.26/x
  3. Step 3: Cross multiply
    338.36x = 505.05 × 314.26
  4. Step 4: Simplify right side
    338.36x = 158,717.01
  5. Step 5: Solve for x
    x = 158,717.01/338.36
  6. Step 6: Final answer
    x = 469.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.