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Finding the Fourth Proportional to 346.67, 477.57 and 291.41

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Solution

The fourth proportional to 346.67, 477.57 and 291.41 is: 401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.67 : 477.57 = 291.41 : x
  2. Step 2: Convert to fraction form
    346.67/477.57 = 291.41/x
  3. Step 3: Cross multiply
    346.67x = 477.57 × 291.41
  4. Step 4: Simplify right side
    346.67x = 139,168.67
  5. Step 5: Solve for x
    x = 139,168.67/346.67
  6. Step 6: Final answer
    x = 401.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.