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Finding the Fourth Proportional to 690.24, 951.53 and 493.41

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Solution

The fourth proportional to 690.24, 951.53 and 493.41 is: 680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.24 : 951.53 = 493.41 : x
  2. Step 2: Convert to fraction form
    690.24/951.53 = 493.41/x
  3. Step 3: Cross multiply
    690.24x = 951.53 × 493.41
  4. Step 4: Simplify right side
    690.24x = 469,491.95
  5. Step 5: Solve for x
    x = 469,491.95/690.24
  6. Step 6: Final answer
    x = 680.19

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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.