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Finding the Fourth Proportional to 690.31, 952.82 and 406.98

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Solution

The fourth proportional to 690.31, 952.82 and 406.98 is: 561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.31 : 952.82 = 406.98 : x
  2. Step 2: Convert to fraction form
    690.31/952.82 = 406.98/x
  3. Step 3: Cross multiply
    690.31x = 952.82 × 406.98
  4. Step 4: Simplify right side
    690.31x = 387,771.88
  5. Step 5: Solve for x
    x = 387,771.88/690.31
  6. Step 6: Final answer
    x = 561.74

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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.