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Finding the Fourth Proportional to 504.15, 695.62 and 338.57

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Solution

The fourth proportional to 504.15, 695.62 and 338.57 is: 467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.15 : 695.62 = 338.57 : x
  2. Step 2: Convert to fraction form
    504.15/695.62 = 338.57/x
  3. Step 3: Cross multiply
    504.15x = 695.62 × 338.57
  4. Step 4: Simplify right side
    504.15x = 235,516.06
  5. Step 5: Solve for x
    x = 235,516.06/504.15
  6. Step 6: Final answer
    x = 467.15

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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.