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Finding the Fourth Proportional to 504.11, 695.90 and 338.41

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Solution

The fourth proportional to 504.11, 695.90 and 338.41 is: 467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.11 : 695.90 = 338.41 : x
  2. Step 2: Convert to fraction form
    504.11/695.90 = 338.41/x
  3. Step 3: Cross multiply
    504.11x = 695.90 × 338.41
  4. Step 4: Simplify right side
    504.11x = 235,499.52
  5. Step 5: Solve for x
    x = 235,499.52/504.11
  6. Step 6: Final answer
    x = 467.16

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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.