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Finding the Fourth Proportional to 469.15, 647.43 and 262.15

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Solution

The fourth proportional to 469.15, 647.43 and 262.15 is: 361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.15 : 647.43 = 262.15 : x
  2. Step 2: Convert to fraction form
    469.15/647.43 = 262.15/x
  3. Step 3: Cross multiply
    469.15x = 647.43 × 262.15
  4. Step 4: Simplify right side
    469.15x = 169,721.17
  5. Step 5: Solve for x
    x = 169,721.17/469.15
  6. Step 6: Final answer
    x = 361.77

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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.