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Finding the Fourth Proportional to 365.03, 503.34 and 233.99

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Solution

The fourth proportional to 365.03, 503.34 and 233.99 is: 322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.03 : 503.34 = 233.99 : x
  2. Step 2: Convert to fraction form
    365.03/503.34 = 233.99/x
  3. Step 3: Cross multiply
    365.03x = 503.34 × 233.99
  4. Step 4: Simplify right side
    365.03x = 117,776.53
  5. Step 5: Solve for x
    x = 117,776.53/365.03
  6. Step 6: Final answer
    x = 322.65

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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.