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Finding the Fourth Proportional to 307.51, 460.58 and 238.49

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Solution

The fourth proportional to 307.51, 460.58 and 238.49 is: 357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.51 : 460.58 = 238.49 : x
  2. Step 2: Convert to fraction form
    307.51/460.58 = 238.49/x
  3. Step 3: Cross multiply
    307.51x = 460.58 × 238.49
  4. Step 4: Simplify right side
    307.51x = 109,843.72
  5. Step 5: Solve for x
    x = 109,843.72/307.51
  6. Step 6: Final answer
    x = 357.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.