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Finding the Fourth Proportional to 467.09, 695.75 and 446.03

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Solution

The fourth proportional to 467.09, 695.75 and 446.03 is: 664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.09 : 695.75 = 446.03 : x
  2. Step 2: Convert to fraction form
    467.09/695.75 = 446.03/x
  3. Step 3: Cross multiply
    467.09x = 695.75 × 446.03
  4. Step 4: Simplify right side
    467.09x = 310,319.66
  5. Step 5: Solve for x
    x = 310,319.66/467.09
  6. Step 6: Final answer
    x = 664.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.