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Finding the Fourth Proportional to 700.88, 965.84 and 464.56

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Solution

The fourth proportional to 700.88, 965.84 and 464.56 is: 640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.88 : 965.84 = 464.56 : x
  2. Step 2: Convert to fraction form
    700.88/965.84 = 464.56/x
  3. Step 3: Cross multiply
    700.88x = 965.84 × 464.56
  4. Step 4: Simplify right side
    700.88x = 448,690.63
  5. Step 5: Solve for x
    x = 448,690.63/700.88
  6. Step 6: Final answer
    x = 640.18

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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.