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Finding the Fourth Proportional to 588.96, 883.58 and 198.98

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Solution

The fourth proportional to 588.96, 883.58 and 198.98 is: 298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 883.58 = 198.98 : x
  2. Step 2: Convert to fraction form
    588.96/883.58 = 198.98/x
  3. Step 3: Cross multiply
    588.96x = 883.58 × 198.98
  4. Step 4: Simplify right side
    588.96x = 175,814.75
  5. Step 5: Solve for x
    x = 175,814.75/588.96
  6. Step 6: Final answer
    x = 298.52

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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.