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Finding the Fourth Proportional to 338.04, 504.59 and 297.03

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Solution

The fourth proportional to 338.04, 504.59 and 297.03 is: 443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 504.59 = 297.03 : x
  2. Step 2: Convert to fraction form
    338.04/504.59 = 297.03/x
  3. Step 3: Cross multiply
    338.04x = 504.59 × 297.03
  4. Step 4: Simplify right side
    338.04x = 149,878.37
  5. Step 5: Solve for x
    x = 149,878.37/338.04
  6. Step 6: Final answer
    x = 443.37

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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.