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Finding the Fourth Proportional to 419.88, 579.24 and 346.16

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Solution

The fourth proportional to 419.88, 579.24 and 346.16 is: 477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.88 : 579.24 = 346.16 : x
  2. Step 2: Convert to fraction form
    419.88/579.24 = 346.16/x
  3. Step 3: Cross multiply
    419.88x = 579.24 × 346.16
  4. Step 4: Simplify right side
    419.88x = 200,509.72
  5. Step 5: Solve for x
    x = 200,509.72/419.88
  6. Step 6: Final answer
    x = 477.54

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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.