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Finding the Fourth Proportional to 270.72, 407.53 and 245.57

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Solution

The fourth proportional to 270.72, 407.53 and 245.57 is: 369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.72 : 407.53 = 245.57 : x
  2. Step 2: Convert to fraction form
    270.72/407.53 = 245.57/x
  3. Step 3: Cross multiply
    270.72x = 407.53 × 245.57
  4. Step 4: Simplify right side
    270.72x = 100,077.55
  5. Step 5: Solve for x
    x = 100,077.55/270.72
  6. Step 6: Final answer
    x = 369.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.