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Finding the Fourth Proportional to 588.21, 881.91 and 314.25

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Solution

The fourth proportional to 588.21, 881.91 and 314.25 is: 471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.21 : 881.91 = 314.25 : x
  2. Step 2: Convert to fraction form
    588.21/881.91 = 314.25/x
  3. Step 3: Cross multiply
    588.21x = 881.91 × 314.25
  4. Step 4: Simplify right side
    588.21x = 277,140.22
  5. Step 5: Solve for x
    x = 277,140.22/588.21
  6. Step 6: Final answer
    x = 471.16

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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.