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Finding the Fourth Proportional to 456.17, 629.10 and 409.05

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Solution

The fourth proportional to 456.17, 629.10 and 409.05 is: 564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.17 : 629.10 = 409.05 : x
  2. Step 2: Convert to fraction form
    456.17/629.10 = 409.05/x
  3. Step 3: Cross multiply
    456.17x = 629.10 × 409.05
  4. Step 4: Simplify right side
    456.17x = 257,333.36
  5. Step 5: Solve for x
    x = 257,333.36/456.17
  6. Step 6: Final answer
    x = 564.12

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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.