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Finding the Fourth Proportional to 302.09, 416.48 and 257.66

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Solution

The fourth proportional to 302.09, 416.48 and 257.66 is: 355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.09 : 416.48 = 257.66 : x
  2. Step 2: Convert to fraction form
    302.09/416.48 = 257.66/x
  3. Step 3: Cross multiply
    302.09x = 416.48 × 257.66
  4. Step 4: Simplify right side
    302.09x = 107,308.80
  5. Step 5: Solve for x
    x = 107,308.80/302.09
  6. Step 6: Final answer
    x = 355.22

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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.