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Finding the Fourth Proportional to 538.63, 742.85 and 433.68

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Solution

The fourth proportional to 538.63, 742.85 and 433.68 is: 598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.63 : 742.85 = 433.68 : x
  2. Step 2: Convert to fraction form
    538.63/742.85 = 433.68/x
  3. Step 3: Cross multiply
    538.63x = 742.85 × 433.68
  4. Step 4: Simplify right side
    538.63x = 322,163.69
  5. Step 5: Solve for x
    x = 322,163.69/538.63
  6. Step 6: Final answer
    x = 598.11

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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.