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Finding the Fourth Proportional to 504.54, 696.06 and 338.81

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Solution

The fourth proportional to 504.54, 696.06 and 338.81 is: 467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.54 : 696.06 = 338.81 : x
  2. Step 2: Convert to fraction form
    504.54/696.06 = 338.81/x
  3. Step 3: Cross multiply
    504.54x = 696.06 × 338.81
  4. Step 4: Simplify right side
    504.54x = 235,829.14
  5. Step 5: Solve for x
    x = 235,829.14/504.54
  6. Step 6: Final answer
    x = 467.41

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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.