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Finding the Fourth Proportional to 690.52, 952.60 and 410.60

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Solution

The fourth proportional to 690.52, 952.60 and 410.60 is: 566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.52 : 952.60 = 410.60 : x
  2. Step 2: Convert to fraction form
    690.52/952.60 = 410.60/x
  3. Step 3: Cross multiply
    690.52x = 952.60 × 410.60
  4. Step 4: Simplify right side
    690.52x = 391,135.34
  5. Step 5: Solve for x
    x = 391,135.34/690.52
  6. Step 6: Final answer
    x = 566.43

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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.