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Finding the Fourth Proportional to 462.81, 638.64 and 266.25

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Solution

The fourth proportional to 462.81, 638.64 and 266.25 is: 367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.81 : 638.64 = 266.25 : x
  2. Step 2: Convert to fraction form
    462.81/638.64 = 266.25/x
  3. Step 3: Cross multiply
    462.81x = 638.64 × 266.25
  4. Step 4: Simplify right side
    462.81x = 170,037.90
  5. Step 5: Solve for x
    x = 170,037.90/462.81
  6. Step 6: Final answer
    x = 367.40

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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.