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Finding the Fourth Proportional to 579.68, 869.66 and 189.68

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Solution

The fourth proportional to 579.68, 869.66 and 189.68 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.68 : 869.66 = 189.68 : x
  2. Step 2: Convert to fraction form
    579.68/869.66 = 189.68/x
  3. Step 3: Cross multiply
    579.68x = 869.66 × 189.68
  4. Step 4: Simplify right side
    579.68x = 164,956.16
  5. Step 5: Solve for x
    x = 164,956.16/579.68
  6. Step 6: Final answer
    x = 284.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.