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Finding the Fourth Proportional to 407.44, 610.44 and 253.14

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Solution

The fourth proportional to 407.44, 610.44 and 253.14 is: 379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.44 : 610.44 = 253.14 : x
  2. Step 2: Convert to fraction form
    407.44/610.44 = 253.14/x
  3. Step 3: Cross multiply
    407.44x = 610.44 × 253.14
  4. Step 4: Simplify right side
    407.44x = 154,526.78
  5. Step 5: Solve for x
    x = 154,526.78/407.44
  6. Step 6: Final answer
    x = 379.26

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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.