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Finding the Fourth Proportional to 365.34, 546.66 and 338.07

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Solution

The fourth proportional to 365.34, 546.66 and 338.07 is: 505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.34 : 546.66 = 338.07 : x
  2. Step 2: Convert to fraction form
    365.34/546.66 = 338.07/x
  3. Step 3: Cross multiply
    365.34x = 546.66 × 338.07
  4. Step 4: Simplify right side
    365.34x = 184,809.35
  5. Step 5: Solve for x
    x = 184,809.35/365.34
  6. Step 6: Final answer
    x = 505.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.