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Finding the Fourth Proportional to 420.29, 629.71 and 257.63

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Solution

The fourth proportional to 420.29, 629.71 and 257.63 is: 386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.29 : 629.71 = 257.63 : x
  2. Step 2: Convert to fraction form
    420.29/629.71 = 257.63/x
  3. Step 3: Cross multiply
    420.29x = 629.71 × 257.63
  4. Step 4: Simplify right side
    420.29x = 162,232.19
  5. Step 5: Solve for x
    x = 162,232.19/420.29
  6. Step 6: Final answer
    x = 386.00

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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.