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Finding the Fourth Proportional to 538.58, 743.60 and 414.02

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Solution

The fourth proportional to 538.58, 743.60 and 414.02 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.58 : 743.60 = 414.02 : x
  2. Step 2: Convert to fraction form
    538.58/743.60 = 414.02/x
  3. Step 3: Cross multiply
    538.58x = 743.60 × 414.02
  4. Step 4: Simplify right side
    538.58x = 307,868.17
  5. Step 5: Solve for x
    x = 307,868.17/538.58
  6. Step 6: Final answer
    x = 571.63

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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.