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Finding the Fourth Proportional to 688.71, 950.50 and 409.01

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Solution

The fourth proportional to 688.71, 950.50 and 409.01 is: 564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.71 : 950.50 = 409.01 : x
  2. Step 2: Convert to fraction form
    688.71/950.50 = 409.01/x
  3. Step 3: Cross multiply
    688.71x = 950.50 × 409.01
  4. Step 4: Simplify right side
    688.71x = 388,765.36
  5. Step 5: Solve for x
    x = 388,765.36/688.71
  6. Step 6: Final answer
    x = 564.48

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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.