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Finding the Fourth Proportional to 365.20, 546.70 and 283.68

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Solution

The fourth proportional to 365.20, 546.70 and 283.68 is: 424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.20 : 546.70 = 283.68 : x
  2. Step 2: Convert to fraction form
    365.20/546.70 = 283.68/x
  3. Step 3: Cross multiply
    365.20x = 546.70 × 283.68
  4. Step 4: Simplify right side
    365.20x = 155,087.86
  5. Step 5: Solve for x
    x = 155,087.86/365.20
  6. Step 6: Final answer
    x = 424.67

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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.