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Finding the Fourth Proportional to 538.41, 743.07 and 302.40

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Solution

The fourth proportional to 538.41, 743.07 and 302.40 is: 417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.41 : 743.07 = 302.40 : x
  2. Step 2: Convert to fraction form
    538.41/743.07 = 302.40/x
  3. Step 3: Cross multiply
    538.41x = 743.07 × 302.40
  4. Step 4: Simplify right side
    538.41x = 224,704.37
  5. Step 5: Solve for x
    x = 224,704.37/538.41
  6. Step 6: Final answer
    x = 417.35

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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.