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Finding the Fourth Proportional to 588.84, 883.11 and 383.40

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Solution

The fourth proportional to 588.84, 883.11 and 383.40 is: 575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.84 : 883.11 = 383.40 : x
  2. Step 2: Convert to fraction form
    588.84/883.11 = 383.40/x
  3. Step 3: Cross multiply
    588.84x = 883.11 × 383.40
  4. Step 4: Simplify right side
    588.84x = 338,584.37
  5. Step 5: Solve for x
    x = 338,584.37/588.84
  6. Step 6: Final answer
    x = 575.00

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