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Finding the Fourth Proportional to 365.80, 546.13 and 335.40

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Solution

The fourth proportional to 365.80, 546.13 and 335.40 is: 500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.80 : 546.13 = 335.40 : x
  2. Step 2: Convert to fraction form
    365.80/546.13 = 335.40/x
  3. Step 3: Cross multiply
    365.80x = 546.13 × 335.40
  4. Step 4: Simplify right side
    365.80x = 183,172.00
  5. Step 5: Solve for x
    x = 183,172.00/365.80
  6. Step 6: Final answer
    x = 500.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.