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Finding the Fourth Proportional to 536.38, 740.20 and 303.50

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Solution

The fourth proportional to 536.38, 740.20 and 303.50 is: 418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.38 : 740.20 = 303.50 : x
  2. Step 2: Convert to fraction form
    536.38/740.20 = 303.50/x
  3. Step 3: Cross multiply
    536.38x = 740.20 × 303.50
  4. Step 4: Simplify right side
    536.38x = 224,650.70
  5. Step 5: Solve for x
    x = 224,650.70/536.38
  6. Step 6: Final answer
    x = 418.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.