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Finding the Fourth Proportional to 419.89, 579.45 and 233.40

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Solution

The fourth proportional to 419.89, 579.45 and 233.40 is: 322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.89 : 579.45 = 233.40 : x
  2. Step 2: Convert to fraction form
    419.89/579.45 = 233.40/x
  3. Step 3: Cross multiply
    419.89x = 579.45 × 233.40
  4. Step 4: Simplify right side
    419.89x = 135,242.46
  5. Step 5: Solve for x
    x = 135,242.46/419.89
  6. Step 6: Final answer
    x = 322.09

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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.