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Finding the Fourth Proportional to 538.60, 743.01 and 464.89

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Solution

The fourth proportional to 538.60, 743.01 and 464.89 is: 641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.60 : 743.01 = 464.89 : x
  2. Step 2: Convert to fraction form
    538.60/743.01 = 464.89/x
  3. Step 3: Cross multiply
    538.60x = 743.01 × 464.89
  4. Step 4: Simplify right side
    538.60x = 345,417.92
  5. Step 5: Solve for x
    x = 345,417.92/538.60
  6. Step 6: Final answer
    x = 641.33

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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.