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Finding the Fourth Proportional to 365.04, 546.84 and 334.80

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Solution

The fourth proportional to 365.04, 546.84 and 334.80 is: 501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.04 : 546.84 = 334.80 : x
  2. Step 2: Convert to fraction form
    365.04/546.84 = 334.80/x
  3. Step 3: Cross multiply
    365.04x = 546.84 × 334.80
  4. Step 4: Simplify right side
    365.04x = 183,082.03
  5. Step 5: Solve for x
    x = 183,082.03/365.04
  6. Step 6: Final answer
    x = 501.54

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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.