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Finding the Fourth Proportional to 307.42, 460.66 and 230.02

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Solution

The fourth proportional to 307.42, 460.66 and 230.02 is: 344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.42 : 460.66 = 230.02 : x
  2. Step 2: Convert to fraction form
    307.42/460.66 = 230.02/x
  3. Step 3: Cross multiply
    307.42x = 460.66 × 230.02
  4. Step 4: Simplify right side
    307.42x = 105,961.01
  5. Step 5: Solve for x
    x = 105,961.01/307.42
  6. Step 6: Final answer
    x = 344.68

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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.