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Finding the Fourth Proportional to 538.71, 743.46 and 302.68

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Solution

The fourth proportional to 538.71, 743.46 and 302.68 is: 417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.71 : 743.46 = 302.68 : x
  2. Step 2: Convert to fraction form
    538.71/743.46 = 302.68/x
  3. Step 3: Cross multiply
    538.71x = 743.46 × 302.68
  4. Step 4: Simplify right side
    538.71x = 225,030.47
  5. Step 5: Solve for x
    x = 225,030.47/538.71
  6. Step 6: Final answer
    x = 417.72

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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.