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Finding the Fourth Proportional to 511.38, 704.70 and 486.81

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Solution

The fourth proportional to 511.38, 704.70 and 486.81 is: 670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 704.70 = 486.81 : x
  2. Step 2: Convert to fraction form
    511.38/704.70 = 486.81/x
  3. Step 3: Cross multiply
    511.38x = 704.70 × 486.81
  4. Step 4: Simplify right side
    511.38x = 343,055.01
  5. Step 5: Solve for x
    x = 343,055.01/511.38
  6. Step 6: Final answer
    x = 670.84

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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.