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Finding the Fourth Proportional to 365.03, 503.52 and 232.01

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Solution

The fourth proportional to 365.03, 503.52 and 232.01 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.03 : 503.52 = 232.01 : x
  2. Step 2: Convert to fraction form
    365.03/503.52 = 232.01/x
  3. Step 3: Cross multiply
    365.03x = 503.52 × 232.01
  4. Step 4: Simplify right side
    365.03x = 116,819.16
  5. Step 5: Solve for x
    x = 116,819.16/365.03
  6. Step 6: Final answer
    x = 320.03

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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.