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Finding the Fourth Proportional to 690.56, 952.84 and 410.92

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Solution

The fourth proportional to 690.56, 952.84 and 410.92 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.56 : 952.84 = 410.92 : x
  2. Step 2: Convert to fraction form
    690.56/952.84 = 410.92/x
  3. Step 3: Cross multiply
    690.56x = 952.84 × 410.92
  4. Step 4: Simplify right side
    690.56x = 391,541.01
  5. Step 5: Solve for x
    x = 391,541.01/690.56
  6. Step 6: Final answer
    x = 566.99

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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.