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Finding the Fourth Proportional to 419.59, 579.05 and 233.08

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Solution

The fourth proportional to 419.59, 579.05 and 233.08 is: 321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.59 : 579.05 = 233.08 : x
  2. Step 2: Convert to fraction form
    419.59/579.05 = 233.08/x
  3. Step 3: Cross multiply
    419.59x = 579.05 × 233.08
  4. Step 4: Simplify right side
    419.59x = 134,963.67
  5. Step 5: Solve for x
    x = 134,963.67/419.59
  6. Step 6: Final answer
    x = 321.66

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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.