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Finding the Fourth Proportional to 690.75, 953.39 and 469.79

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Solution

The fourth proportional to 690.75, 953.39 and 469.79 is: 648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.75 : 953.39 = 469.79 : x
  2. Step 2: Convert to fraction form
    690.75/953.39 = 469.79/x
  3. Step 3: Cross multiply
    690.75x = 953.39 × 469.79
  4. Step 4: Simplify right side
    690.75x = 447,885.97
  5. Step 5: Solve for x
    x = 447,885.97/690.75
  6. Step 6: Final answer
    x = 648.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.