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Finding the Fourth Proportional to 538.55, 743.10 and 455.48

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Solution

The fourth proportional to 538.55, 743.10 and 455.48 is: 628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.55 : 743.10 = 455.48 : x
  2. Step 2: Convert to fraction form
    538.55/743.10 = 455.48/x
  3. Step 3: Cross multiply
    538.55x = 743.10 × 455.48
  4. Step 4: Simplify right side
    538.55x = 338,467.19
  5. Step 5: Solve for x
    x = 338,467.19/538.55
  6. Step 6: Final answer
    x = 628.48

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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.