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Finding the Fourth Proportional to 438.66, 657.76 and 219.05

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Solution

The fourth proportional to 438.66, 657.76 and 219.05 is: 328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.66 : 657.76 = 219.05 : x
  2. Step 2: Convert to fraction form
    438.66/657.76 = 219.05/x
  3. Step 3: Cross multiply
    438.66x = 657.76 × 219.05
  4. Step 4: Simplify right side
    438.66x = 144,082.33
  5. Step 5: Solve for x
    x = 144,082.33/438.66
  6. Step 6: Final answer
    x = 328.46

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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.