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Finding the Fourth Proportional to 366.57, 505.59 and 233.83

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Solution

The fourth proportional to 366.57, 505.59 and 233.83 is: 322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.57 : 505.59 = 233.83 : x
  2. Step 2: Convert to fraction form
    366.57/505.59 = 233.83/x
  3. Step 3: Cross multiply
    366.57x = 505.59 × 233.83
  4. Step 4: Simplify right side
    366.57x = 118,219.68
  5. Step 5: Solve for x
    x = 118,219.68/366.57
  6. Step 6: Final answer
    x = 322.50

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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.