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Finding the Fourth Proportional to 456.32, 629.49 and 288.19

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Solution

The fourth proportional to 456.32, 629.49 and 288.19 is: 397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.32 : 629.49 = 288.19 : x
  2. Step 2: Convert to fraction form
    456.32/629.49 = 288.19/x
  3. Step 3: Cross multiply
    456.32x = 629.49 × 288.19
  4. Step 4: Simplify right side
    456.32x = 181,411.28
  5. Step 5: Solve for x
    x = 181,411.28/456.32
  6. Step 6: Final answer
    x = 397.56

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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.