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Finding the Fourth Proportional to 338.99, 507.26 and 257.58

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Solution

The fourth proportional to 338.99, 507.26 and 257.58 is: 385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.99 : 507.26 = 257.58 : x
  2. Step 2: Convert to fraction form
    338.99/507.26 = 257.58/x
  3. Step 3: Cross multiply
    338.99x = 507.26 × 257.58
  4. Step 4: Simplify right side
    338.99x = 130,660.67
  5. Step 5: Solve for x
    x = 130,660.67/338.99
  6. Step 6: Final answer
    x = 385.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.