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Finding the Fourth Proportional to 504.50, 695.79 and 338.51

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Solution

The fourth proportional to 504.50, 695.79 and 338.51 is: 466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.50 : 695.79 = 338.51 : x
  2. Step 2: Convert to fraction form
    504.50/695.79 = 338.51/x
  3. Step 3: Cross multiply
    504.50x = 695.79 × 338.51
  4. Step 4: Simplify right side
    504.50x = 235,533.61
  5. Step 5: Solve for x
    x = 235,533.61/504.50
  6. Step 6: Final answer
    x = 466.87

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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.