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Finding the Fourth Proportional to 504.13, 695.67 and 338.32

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Solution

The fourth proportional to 504.13, 695.67 and 338.32 is: 466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.13 : 695.67 = 338.32 : x
  2. Step 2: Convert to fraction form
    504.13/695.67 = 338.32/x
  3. Step 3: Cross multiply
    504.13x = 695.67 × 338.32
  4. Step 4: Simplify right side
    504.13x = 235,357.34
  5. Step 5: Solve for x
    x = 235,357.34/504.13
  6. Step 6: Final answer
    x = 466.86

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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.