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Finding the Fourth Proportional to 638.16, 957.86 and 291.69

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Solution

The fourth proportional to 638.16, 957.86 and 291.69 is: 437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.16 : 957.86 = 291.69 : x
  2. Step 2: Convert to fraction form
    638.16/957.86 = 291.69/x
  3. Step 3: Cross multiply
    638.16x = 957.86 × 291.69
  4. Step 4: Simplify right side
    638.16x = 279,396.72
  5. Step 5: Solve for x
    x = 279,396.72/638.16
  6. Step 6: Final answer
    x = 437.82

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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.