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Finding the Fourth Proportional to 688.92, 950.94 and 427.02

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Solution

The fourth proportional to 688.92, 950.94 and 427.02 is: 589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.92 : 950.94 = 427.02 : x
  2. Step 2: Convert to fraction form
    688.92/950.94 = 427.02/x
  3. Step 3: Cross multiply
    688.92x = 950.94 × 427.02
  4. Step 4: Simplify right side
    688.92x = 406,070.40
  5. Step 5: Solve for x
    x = 406,070.40/688.92
  6. Step 6: Final answer
    x = 589.43

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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.