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Finding the Fourth Proportional to 364.87, 503.30 and 233.65

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Solution

The fourth proportional to 364.87, 503.30 and 233.65 is: 322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.87 : 503.30 = 233.65 : x
  2. Step 2: Convert to fraction form
    364.87/503.30 = 233.65/x
  3. Step 3: Cross multiply
    364.87x = 503.30 × 233.65
  4. Step 4: Simplify right side
    364.87x = 117,592.36
  5. Step 5: Solve for x
    x = 117,592.36/364.87
  6. Step 6: Final answer
    x = 322.29

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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.