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Finding the Fourth Proportional to 538.14, 742.59 and 302.08

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Solution

The fourth proportional to 538.14, 742.59 and 302.08 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 742.59 = 302.08 : x
  2. Step 2: Convert to fraction form
    538.14/742.59 = 302.08/x
  3. Step 3: Cross multiply
    538.14x = 742.59 × 302.08
  4. Step 4: Simplify right side
    538.14x = 224,321.97
  5. Step 5: Solve for x
    x = 224,321.97/538.14
  6. Step 6: Final answer
    x = 416.84

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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.