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Finding the Fourth Proportional to 433.83, 598.69 and 247.33

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Solution

The fourth proportional to 433.83, 598.69 and 247.33 is: 341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.83 : 598.69 = 247.33 : x
  2. Step 2: Convert to fraction form
    433.83/598.69 = 247.33/x
  3. Step 3: Cross multiply
    433.83x = 598.69 × 247.33
  4. Step 4: Simplify right side
    433.83x = 148,072.76
  5. Step 5: Solve for x
    x = 148,072.76/433.83
  6. Step 6: Final answer
    x = 341.32

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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.