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Finding the Fourth Proportional to 433.47, 598.19 and 236.98

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Solution

The fourth proportional to 433.47, 598.19 and 236.98 is: 327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.47 : 598.19 = 236.98 : x
  2. Step 2: Convert to fraction form
    433.47/598.19 = 236.98/x
  3. Step 3: Cross multiply
    433.47x = 598.19 × 236.98
  4. Step 4: Simplify right side
    433.47x = 141,758.47
  5. Step 5: Solve for x
    x = 141,758.47/433.47
  6. Step 6: Final answer
    x = 327.03

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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.