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Finding the Fourth Proportional to 538.45, 743.00 and 302.36

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Solution

The fourth proportional to 538.45, 743.00 and 302.36 is: 417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 743.00 = 302.36 : x
  2. Step 2: Convert to fraction form
    538.45/743.00 = 302.36/x
  3. Step 3: Cross multiply
    538.45x = 743.00 × 302.36
  4. Step 4: Simplify right side
    538.45x = 224,653.83
  5. Step 5: Solve for x
    x = 224,653.83/538.45
  6. Step 6: Final answer
    x = 417.23

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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.