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Finding the Fourth Proportional to 688.79, 950.05 and 464.83

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Solution

The fourth proportional to 688.79, 950.05 and 464.83 is: 641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.79 : 950.05 = 464.83 : x
  2. Step 2: Convert to fraction form
    688.79/950.05 = 464.83/x
  3. Step 3: Cross multiply
    688.79x = 950.05 × 464.83
  4. Step 4: Simplify right side
    688.79x = 441,611.74
  5. Step 5: Solve for x
    x = 441,611.74/688.79
  6. Step 6: Final answer
    x = 641.14

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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.