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Finding the Fourth Proportional to 538.42, 742.04 and 433.92

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Solution

The fourth proportional to 538.42, 742.04 and 433.92 is: 598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.42 : 742.04 = 433.92 : x
  2. Step 2: Convert to fraction form
    538.42/742.04 = 433.92/x
  3. Step 3: Cross multiply
    538.42x = 742.04 × 433.92
  4. Step 4: Simplify right side
    538.42x = 321,986.00
  5. Step 5: Solve for x
    x = 321,986.00/538.42
  6. Step 6: Final answer
    x = 598.02

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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.