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Finding the Fourth Proportional to 690.49, 952.45 and 493.66

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Solution

The fourth proportional to 690.49, 952.45 and 493.66 is: 680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.49 : 952.45 = 493.66 : x
  2. Step 2: Convert to fraction form
    690.49/952.45 = 493.66/x
  3. Step 3: Cross multiply
    690.49x = 952.45 × 493.66
  4. Step 4: Simplify right side
    690.49x = 470,186.47
  5. Step 5: Solve for x
    x = 470,186.47/690.49
  6. Step 6: Final answer
    x = 680.95

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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.