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Finding the Fourth Proportional to 504.10, 696.05 and 338.45

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Solution

The fourth proportional to 504.10, 696.05 and 338.45 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 696.05 = 338.45 : x
  2. Step 2: Convert to fraction form
    504.10/696.05 = 338.45/x
  3. Step 3: Cross multiply
    504.10x = 696.05 × 338.45
  4. Step 4: Simplify right side
    504.10x = 235,578.12
  5. Step 5: Solve for x
    x = 235,578.12/504.10
  6. Step 6: Final answer
    x = 467.32

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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.