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Finding the Fourth Proportional to 688.64, 949.28 and 455.36

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Solution

The fourth proportional to 688.64, 949.28 and 455.36 is: 627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.64 : 949.28 = 455.36 : x
  2. Step 2: Convert to fraction form
    688.64/949.28 = 455.36/x
  3. Step 3: Cross multiply
    688.64x = 949.28 × 455.36
  4. Step 4: Simplify right side
    688.64x = 432,264.14
  5. Step 5: Solve for x
    x = 432,264.14/688.64
  6. Step 6: Final answer
    x = 627.71

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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.