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Finding the Fourth Proportional to 690.66, 952.95 and 410.67

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Solution

The fourth proportional to 690.66, 952.95 and 410.67 is: 566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.66 : 952.95 = 410.67 : x
  2. Step 2: Convert to fraction form
    690.66/952.95 = 410.67/x
  3. Step 3: Cross multiply
    690.66x = 952.95 × 410.67
  4. Step 4: Simplify right side
    690.66x = 391,347.98
  5. Step 5: Solve for x
    x = 391,347.98/690.66
  6. Step 6: Final answer
    x = 566.63

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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.