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Finding the Fourth Proportional to 536.46, 740.28 and 303.60

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Solution

The fourth proportional to 536.46, 740.28 and 303.60 is: 418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.46 : 740.28 = 303.60 : x
  2. Step 2: Convert to fraction form
    536.46/740.28 = 303.60/x
  3. Step 3: Cross multiply
    536.46x = 740.28 × 303.60
  4. Step 4: Simplify right side
    536.46x = 224,749.01
  5. Step 5: Solve for x
    x = 224,749.01/536.46
  6. Step 6: Final answer
    x = 418.95

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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.