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Finding the Fourth Proportional to 365.06, 504.00 and 240.92

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Solution

The fourth proportional to 365.06, 504.00 and 240.92 is: 332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.06 : 504.00 = 240.92 : x
  2. Step 2: Convert to fraction form
    365.06/504.00 = 240.92/x
  3. Step 3: Cross multiply
    365.06x = 504.00 × 240.92
  4. Step 4: Simplify right side
    365.06x = 121,425.21
  5. Step 5: Solve for x
    x = 121,425.21/365.06
  6. Step 6: Final answer
    x = 332.62

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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.