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Finding the Fourth Proportional to 407.35, 610.57 and 253.27

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Solution

The fourth proportional to 407.35, 610.57 and 253.27 is: 379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.35 : 610.57 = 253.27 : x
  2. Step 2: Convert to fraction form
    407.35/610.57 = 253.27/x
  3. Step 3: Cross multiply
    407.35x = 610.57 × 253.27
  4. Step 4: Simplify right side
    407.35x = 154,634.74
  5. Step 5: Solve for x
    x = 154,634.74/407.35
  6. Step 6: Final answer
    x = 379.62

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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.