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Finding the Fourth Proportional to 512.64, 708.96 and 450.40

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Solution

The fourth proportional to 512.64, 708.96 and 450.40 is: 622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 708.96 = 450.40 : x
  2. Step 2: Convert to fraction form
    512.64/708.96 = 450.40/x
  3. Step 3: Cross multiply
    512.64x = 708.96 × 450.40
  4. Step 4: Simplify right side
    512.64x = 319,315.58
  5. Step 5: Solve for x
    x = 319,315.58/512.64
  6. Step 6: Final answer
    x = 622.88

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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.