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Finding the Fourth Proportional to 469.49, 647.89 and 262.49

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Solution

The fourth proportional to 469.49, 647.89 and 262.49 is: 362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.49 : 647.89 = 262.49 : x
  2. Step 2: Convert to fraction form
    469.49/647.89 = 262.49/x
  3. Step 3: Cross multiply
    469.49x = 647.89 × 262.49
  4. Step 4: Simplify right side
    469.49x = 170,061.41
  5. Step 5: Solve for x
    x = 170,061.41/469.49
  6. Step 6: Final answer
    x = 362.23

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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.