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Finding the Fourth Proportional to 504.46, 696.46 and 399.97

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Solution

The fourth proportional to 504.46, 696.46 and 399.97 is: 552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.46 : 696.46 = 399.97 : x
  2. Step 2: Convert to fraction form
    504.46/696.46 = 399.97/x
  3. Step 3: Cross multiply
    504.46x = 696.46 × 399.97
  4. Step 4: Simplify right side
    504.46x = 278,559.81
  5. Step 5: Solve for x
    x = 278,559.81/504.46
  6. Step 6: Final answer
    x = 552.20

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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.