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Finding the Fourth Proportional to 302.09, 416.54 and 246.65

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Solution

The fourth proportional to 302.09, 416.54 and 246.65 is: 340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.09 : 416.54 = 246.65 : x
  2. Step 2: Convert to fraction form
    302.09/416.54 = 246.65/x
  3. Step 3: Cross multiply
    302.09x = 416.54 × 246.65
  4. Step 4: Simplify right side
    302.09x = 102,739.40
  5. Step 5: Solve for x
    x = 102,739.40/302.09
  6. Step 6: Final answer
    x = 340.10

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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.