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Finding the Fourth Proportional to 365.24, 546.90 and 282.62

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Solution

The fourth proportional to 365.24, 546.90 and 282.62 is: 423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.24 : 546.90 = 282.62 : x
  2. Step 2: Convert to fraction form
    365.24/546.90 = 282.62/x
  3. Step 3: Cross multiply
    365.24x = 546.90 × 282.62
  4. Step 4: Simplify right side
    365.24x = 154,564.88
  5. Step 5: Solve for x
    x = 154,564.88/365.24
  6. Step 6: Final answer
    x = 423.19

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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.