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Finding the Fourth Proportional to 424.94, 638.55 and 230.07

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Solution

The fourth proportional to 424.94, 638.55 and 230.07 is: 345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.94 : 638.55 = 230.07 : x
  2. Step 2: Convert to fraction form
    424.94/638.55 = 230.07/x
  3. Step 3: Cross multiply
    424.94x = 638.55 × 230.07
  4. Step 4: Simplify right side
    424.94x = 146,913.59
  5. Step 5: Solve for x
    x = 146,913.59/424.94
  6. Step 6: Final answer
    x = 345.73

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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.