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Finding the Fourth Proportional to 690.15, 952.61 and 410.47

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Solution

The fourth proportional to 690.15, 952.61 and 410.47 is: 566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.15 : 952.61 = 410.47 : x
  2. Step 2: Convert to fraction form
    690.15/952.61 = 410.47/x
  3. Step 3: Cross multiply
    690.15x = 952.61 × 410.47
  4. Step 4: Simplify right side
    690.15x = 391,015.70
  5. Step 5: Solve for x
    x = 391,015.70/690.15
  6. Step 6: Final answer
    x = 566.57

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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.