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Finding the Fourth Proportional to 504.15, 695.76 and 338.07

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Solution

The fourth proportional to 504.15, 695.76 and 338.07 is: 466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.15 : 695.76 = 338.07 : x
  2. Step 2: Convert to fraction form
    504.15/695.76 = 338.07/x
  3. Step 3: Cross multiply
    504.15x = 695.76 × 338.07
  4. Step 4: Simplify right side
    504.15x = 235,215.58
  5. Step 5: Solve for x
    x = 235,215.58/504.15
  6. Step 6: Final answer
    x = 466.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.