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Finding the Fourth Proportional to 302.86, 418.01 and 253.65

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Solution

The fourth proportional to 302.86, 418.01 and 253.65 is: 350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.86 : 418.01 = 253.65 : x
  2. Step 2: Convert to fraction form
    302.86/418.01 = 253.65/x
  3. Step 3: Cross multiply
    302.86x = 418.01 × 253.65
  4. Step 4: Simplify right side
    302.86x = 106,028.24
  5. Step 5: Solve for x
    x = 106,028.24/302.86
  6. Step 6: Final answer
    x = 350.09

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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.