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Finding the Fourth Proportional to 469.09, 647.36 and 262.09

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Solution

The fourth proportional to 469.09, 647.36 and 262.09 is: 361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.09 : 647.36 = 262.09 : x
  2. Step 2: Convert to fraction form
    469.09/647.36 = 262.09/x
  3. Step 3: Cross multiply
    469.09x = 647.36 × 262.09
  4. Step 4: Simplify right side
    469.09x = 169,666.58
  5. Step 5: Solve for x
    x = 169,666.58/469.09
  6. Step 6: Final answer
    x = 361.69

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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.