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Finding the Fourth Proportional to 688.60, 950.36 and 409.08

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Solution

The fourth proportional to 688.60, 950.36 and 409.08 is: 564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.60 : 950.36 = 409.08 : x
  2. Step 2: Convert to fraction form
    688.60/950.36 = 409.08/x
  3. Step 3: Cross multiply
    688.60x = 950.36 × 409.08
  4. Step 4: Simplify right side
    688.60x = 388,773.27
  5. Step 5: Solve for x
    x = 388,773.27/688.60
  6. Step 6: Final answer
    x = 564.59

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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.