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Finding the Fourth Proportional to 669.18, 922.83 and 459.59

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Solution

The fourth proportional to 669.18, 922.83 and 459.59 is: 633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.18 : 922.83 = 459.59 : x
  2. Step 2: Convert to fraction form
    669.18/922.83 = 459.59/x
  3. Step 3: Cross multiply
    669.18x = 922.83 × 459.59
  4. Step 4: Simplify right side
    669.18x = 424,118.83
  5. Step 5: Solve for x
    x = 424,118.83/669.18
  6. Step 6: Final answer
    x = 633.79

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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.