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Finding the Fourth Proportional to 275.02, 410.61 and 245.86

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Solution

The fourth proportional to 275.02, 410.61 and 245.86 is: 367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.02 : 410.61 = 245.86 : x
  2. Step 2: Convert to fraction form
    275.02/410.61 = 245.86/x
  3. Step 3: Cross multiply
    275.02x = 410.61 × 245.86
  4. Step 4: Simplify right side
    275.02x = 100,952.57
  5. Step 5: Solve for x
    x = 100,952.57/275.02
  6. Step 6: Final answer
    x = 367.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.