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Finding the Fourth Proportional to 365.50, 546.63 and 334.72

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Solution

The fourth proportional to 365.50, 546.63 and 334.72 is: 500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.50 : 546.63 = 334.72 : x
  2. Step 2: Convert to fraction form
    365.50/546.63 = 334.72/x
  3. Step 3: Cross multiply
    365.50x = 546.63 × 334.72
  4. Step 4: Simplify right side
    365.50x = 182,967.99
  5. Step 5: Solve for x
    x = 182,967.99/365.50
  6. Step 6: Final answer
    x = 500.60

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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.