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Finding the Fourth Proportional to 669.84, 922.44 and 462.48

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Solution

The fourth proportional to 669.84, 922.44 and 462.48 is: 636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.84 : 922.44 = 462.48 : x
  2. Step 2: Convert to fraction form
    669.84/922.44 = 462.48/x
  3. Step 3: Cross multiply
    669.84x = 922.44 × 462.48
  4. Step 4: Simplify right side
    669.84x = 426,610.05
  5. Step 5: Solve for x
    x = 426,610.05/669.84
  6. Step 6: Final answer
    x = 636.88

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1.5x scale

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.