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Finding the Fourth Proportional to 462.65, 638.27 and 266.06

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Solution

The fourth proportional to 462.65, 638.27 and 266.06 is: 367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.65 : 638.27 = 266.06 : x
  2. Step 2: Convert to fraction form
    462.65/638.27 = 266.06/x
  3. Step 3: Cross multiply
    462.65x = 638.27 × 266.06
  4. Step 4: Simplify right side
    462.65x = 169,815.59
  5. Step 5: Solve for x
    x = 169,815.59/462.65
  6. Step 6: Final answer
    x = 367.05

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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.