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Finding the Fourth Proportional to 438.59, 657.67 and 256.03

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Solution

The fourth proportional to 438.59, 657.67 and 256.03 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.59 : 657.67 = 256.03 : x
  2. Step 2: Convert to fraction form
    438.59/657.67 = 256.03/x
  3. Step 3: Cross multiply
    438.59x = 657.67 × 256.03
  4. Step 4: Simplify right side
    438.59x = 168,383.25
  5. Step 5: Solve for x
    x = 168,383.25/438.59
  6. Step 6: Final answer
    x = 383.92

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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.