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Finding the Fourth Proportional to 538.26, 742.82 and 407.04

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Solution

The fourth proportional to 538.26, 742.82 and 407.04 is: 561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.26 : 742.82 = 407.04 : x
  2. Step 2: Convert to fraction form
    538.26/742.82 = 407.04/x
  3. Step 3: Cross multiply
    538.26x = 742.82 × 407.04
  4. Step 4: Simplify right side
    538.26x = 302,357.45
  5. Step 5: Solve for x
    x = 302,357.45/538.26
  6. Step 6: Final answer
    x = 561.73

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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.