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Finding the Fourth Proportional to 419.64, 579.08 and 233.16

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Solution

The fourth proportional to 419.64, 579.08 and 233.16 is: 321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 579.08 = 233.16 : x
  2. Step 2: Convert to fraction form
    419.64/579.08 = 233.16/x
  3. Step 3: Cross multiply
    419.64x = 579.08 × 233.16
  4. Step 4: Simplify right side
    419.64x = 135,018.29
  5. Step 5: Solve for x
    x = 135,018.29/419.64
  6. Step 6: Final answer
    x = 321.75

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Why These Related Problems?

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