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Finding the Fourth Proportional to 451.64, 677.51 and 208.32

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Solution

The fourth proportional to 451.64, 677.51 and 208.32 is: 312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.64 : 677.51 = 208.32 : x
  2. Step 2: Convert to fraction form
    451.64/677.51 = 208.32/x
  3. Step 3: Cross multiply
    451.64x = 677.51 × 208.32
  4. Step 4: Simplify right side
    451.64x = 141,137.84
  5. Step 5: Solve for x
    x = 141,137.84/451.64
  6. Step 6: Final answer
    x = 312.50

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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.