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Finding the Fourth Proportional to 419.86, 579.45 and 233.35

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Solution

The fourth proportional to 419.86, 579.45 and 233.35 is: 322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.86 : 579.45 = 233.35 : x
  2. Step 2: Convert to fraction form
    419.86/579.45 = 233.35/x
  3. Step 3: Cross multiply
    419.86x = 579.45 × 233.35
  4. Step 4: Simplify right side
    419.86x = 135,211.71
  5. Step 5: Solve for x
    x = 135,211.71/419.86
  6. Step 6: Final answer
    x = 322.04

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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.