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Finding the Fourth Proportional to 338.68, 466.93 and 233.58

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Solution

The fourth proportional to 338.68, 466.93 and 233.58 is: 322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.68 : 466.93 = 233.58 : x
  2. Step 2: Convert to fraction form
    338.68/466.93 = 233.58/x
  3. Step 3: Cross multiply
    338.68x = 466.93 × 233.58
  4. Step 4: Simplify right side
    338.68x = 109,065.51
  5. Step 5: Solve for x
    x = 109,065.51/338.68
  6. Step 6: Final answer
    x = 322.03

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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.