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Finding the Fourth Proportional to 469.25, 647.57 and 262.25

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Solution

The fourth proportional to 469.25, 647.57 and 262.25 is: 361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.25 : 647.57 = 262.25 : x
  2. Step 2: Convert to fraction form
    469.25/647.57 = 262.25/x
  3. Step 3: Cross multiply
    469.25x = 647.57 × 262.25
  4. Step 4: Simplify right side
    469.25x = 169,823.92
  5. Step 5: Solve for x
    x = 169,823.92/469.25
  6. Step 6: Final answer
    x = 361.91

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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.