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Finding the Fourth Proportional to 297.68, 405.44 and 291.68

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Solution

The fourth proportional to 297.68, 405.44 and 291.68 is: 397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.68 : 405.44 = 291.68 : x
  2. Step 2: Convert to fraction form
    297.68/405.44 = 291.68/x
  3. Step 3: Cross multiply
    297.68x = 405.44 × 291.68
  4. Step 4: Simplify right side
    297.68x = 118,258.74
  5. Step 5: Solve for x
    x = 118,258.74/297.68
  6. Step 6: Final answer
    x = 397.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.