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Finding the Fourth Proportional to 433.58, 598.16 and 244.48

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Solution

The fourth proportional to 433.58, 598.16 and 244.48 is: 337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.58 : 598.16 = 244.48 : x
  2. Step 2: Convert to fraction form
    433.58/598.16 = 244.48/x
  3. Step 3: Cross multiply
    433.58x = 598.16 × 244.48
  4. Step 4: Simplify right side
    433.58x = 146,237.27
  5. Step 5: Solve for x
    x = 146,237.27/433.58
  6. Step 6: Final answer
    x = 337.28

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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.