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Finding the Fourth Proportional to 538.60, 743.63 and 414.03

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Solution

The fourth proportional to 538.60, 743.63 and 414.03 is: 571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.60 : 743.63 = 414.03 : x
  2. Step 2: Convert to fraction form
    538.60/743.63 = 414.03/x
  3. Step 3: Cross multiply
    538.60x = 743.63 × 414.03
  4. Step 4: Simplify right side
    538.60x = 307,885.13
  5. Step 5: Solve for x
    x = 307,885.13/538.60
  6. Step 6: Final answer
    x = 571.64

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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.