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Finding the Fourth Proportional to 588.96, 883.38 and 204.18

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Solution

The fourth proportional to 588.96, 883.38 and 204.18 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 883.38 = 204.18 : x
  2. Step 2: Convert to fraction form
    588.96/883.38 = 204.18/x
  3. Step 3: Cross multiply
    588.96x = 883.38 × 204.18
  4. Step 4: Simplify right side
    588.96x = 180,368.53
  5. Step 5: Solve for x
    x = 180,368.53/588.96
  6. Step 6: Final answer
    x = 306.25

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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.