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Finding the Fourth Proportional to 538.04, 743.19 and 445.16

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Solution

The fourth proportional to 538.04, 743.19 and 445.16 is: 614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.04 : 743.19 = 445.16 : x
  2. Step 2: Convert to fraction form
    538.04/743.19 = 445.16/x
  3. Step 3: Cross multiply
    538.04x = 743.19 × 445.16
  4. Step 4: Simplify right side
    538.04x = 330,838.46
  5. Step 5: Solve for x
    x = 330,838.46/538.04
  6. Step 6: Final answer
    x = 614.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.