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Finding the Fourth Proportional to 642.64, 965.56 and 450.64

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Solution

The fourth proportional to 642.64, 965.56 and 450.64 is: 677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.64 : 965.56 = 450.64 : x
  2. Step 2: Convert to fraction form
    642.64/965.56 = 450.64/x
  3. Step 3: Cross multiply
    642.64x = 965.56 × 450.64
  4. Step 4: Simplify right side
    642.64x = 435,119.96
  5. Step 5: Solve for x
    x = 435,119.96/642.64
  6. Step 6: Final answer
    x = 677.08

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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.