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Finding the Fourth Proportional to 486.45, 732.27 and 436.22

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Solution

The fourth proportional to 486.45, 732.27 and 436.22 is: 656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.45 : 732.27 = 436.22 : x
  2. Step 2: Convert to fraction form
    486.45/732.27 = 436.22/x
  3. Step 3: Cross multiply
    486.45x = 732.27 × 436.22
  4. Step 4: Simplify right side
    486.45x = 319,431.54
  5. Step 5: Solve for x
    x = 319,431.54/486.45
  6. Step 6: Final answer
    x = 656.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.