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Finding the Fourth Proportional to 365.52, 503.64 and 330.51

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Solution

The fourth proportional to 365.52, 503.64 and 330.51 is: 455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.52 : 503.64 = 330.51 : x
  2. Step 2: Convert to fraction form
    365.52/503.64 = 330.51/x
  3. Step 3: Cross multiply
    365.52x = 503.64 × 330.51
  4. Step 4: Simplify right side
    365.52x = 166,458.06
  5. Step 5: Solve for x
    x = 166,458.06/365.52
  6. Step 6: Final answer
    x = 455.40

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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.