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Finding the Fourth Proportional to 457, 685.64 and 229

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Solution

The fourth proportional to 457, 685.64 and 229 is: 343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457 : 685.64 = 229 : x
  2. Step 2: Convert to fraction form
    457/685.64 = 229/x
  3. Step 3: Cross multiply
    457x = 685.64 × 229
  4. Step 4: Simplify right side
    457x = 157,011.56
  5. Step 5: Solve for x
    x = 157,011.56/457
  6. Step 6: Final answer
    x = 343.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.