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Finding the Fourth Proportional to 504.12, 695.28 and 338.22

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Solution

The fourth proportional to 504.12, 695.28 and 338.22 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.12 : 695.28 = 338.22 : x
  2. Step 2: Convert to fraction form
    504.12/695.28 = 338.22/x
  3. Step 3: Cross multiply
    504.12x = 695.28 × 338.22
  4. Step 4: Simplify right side
    504.12x = 235,157.60
  5. Step 5: Solve for x
    x = 235,157.60/504.12
  6. Step 6: Final answer
    x = 466.47

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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.