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Finding the Fourth Proportional to 588.05, 877.90 and 523.25

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Solution

The fourth proportional to 588.05, 877.90 and 523.25 is: 781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.05 : 877.90 = 523.25 : x
  2. Step 2: Convert to fraction form
    588.05/877.90 = 523.25/x
  3. Step 3: Cross multiply
    588.05x = 877.90 × 523.25
  4. Step 4: Simplify right side
    588.05x = 459,361.18
  5. Step 5: Solve for x
    x = 459,361.18/588.05
  6. Step 6: Final answer
    x = 781.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.