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Finding the Fourth Proportional to 438.76, 657.78 and 294.40

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Solution

The fourth proportional to 438.76, 657.78 and 294.40 is: 441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.76 : 657.78 = 294.40 : x
  2. Step 2: Convert to fraction form
    438.76/657.78 = 294.40/x
  3. Step 3: Cross multiply
    438.76x = 657.78 × 294.40
  4. Step 4: Simplify right side
    438.76x = 193,650.43
  5. Step 5: Solve for x
    x = 193,650.43/438.76
  6. Step 6: Final answer
    x = 441.36

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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.