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Finding the Fourth Proportional to 690.75, 953.28 and 396.07

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Solution

The fourth proportional to 690.75, 953.28 and 396.07 is: 546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.75 : 953.28 = 396.07 : x
  2. Step 2: Convert to fraction form
    690.75/953.28 = 396.07/x
  3. Step 3: Cross multiply
    690.75x = 953.28 × 396.07
  4. Step 4: Simplify right side
    690.75x = 377,563.23
  5. Step 5: Solve for x
    x = 377,563.23/690.75
  6. Step 6: Final answer
    x = 546.60

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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.