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Finding the Fourth Proportional to 690.35, 952.79 and 410.58

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Solution

The fourth proportional to 690.35, 952.79 and 410.58 is: 566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.35 : 952.79 = 410.58 : x
  2. Step 2: Convert to fraction form
    690.35/952.79 = 410.58/x
  3. Step 3: Cross multiply
    690.35x = 952.79 × 410.58
  4. Step 4: Simplify right side
    690.35x = 391,194.47
  5. Step 5: Solve for x
    x = 391,194.47/690.35
  6. Step 6: Final answer
    x = 566.67

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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.