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Finding the Fourth Proportional to 366.36, 505.80 and 233.65

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Solution

The fourth proportional to 366.36, 505.80 and 233.65 is: 322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.36 : 505.80 = 233.65 : x
  2. Step 2: Convert to fraction form
    366.36/505.80 = 233.65/x
  3. Step 3: Cross multiply
    366.36x = 505.80 × 233.65
  4. Step 4: Simplify right side
    366.36x = 118,180.17
  5. Step 5: Solve for x
    x = 118,180.17/366.36
  6. Step 6: Final answer
    x = 322.58

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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.