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Finding the Fourth Proportional to 433.72, 598.57 and 247.27

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Solution

The fourth proportional to 433.72, 598.57 and 247.27 is: 341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.72 : 598.57 = 247.27 : x
  2. Step 2: Convert to fraction form
    433.72/598.57 = 247.27/x
  3. Step 3: Cross multiply
    433.72x = 598.57 × 247.27
  4. Step 4: Simplify right side
    433.72x = 148,008.40
  5. Step 5: Solve for x
    x = 148,008.40/433.72
  6. Step 6: Final answer
    x = 341.25

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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.