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Finding the Fourth Proportional to 466.97, 696.06 and 436.19

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Solution

The fourth proportional to 466.97, 696.06 and 436.19 is: 650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.97 : 696.06 = 436.19 : x
  2. Step 2: Convert to fraction form
    466.97/696.06 = 436.19/x
  3. Step 3: Cross multiply
    466.97x = 696.06 × 436.19
  4. Step 4: Simplify right side
    466.97x = 303,610.93
  5. Step 5: Solve for x
    x = 303,610.93/466.97
  6. Step 6: Final answer
    x = 650.18

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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.