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Finding the Fourth Proportional to 690.53, 952.83 and 410.74

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Solution

The fourth proportional to 690.53, 952.83 and 410.74 is: 566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.53 : 952.83 = 410.74 : x
  2. Step 2: Convert to fraction form
    690.53/952.83 = 410.74/x
  3. Step 3: Cross multiply
    690.53x = 952.83 × 410.74
  4. Step 4: Simplify right side
    690.53x = 391,363.01
  5. Step 5: Solve for x
    x = 391,363.01/690.53
  6. Step 6: Final answer
    x = 566.76

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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.