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Finding the Fourth Proportional to 588.34, 884.54 and 473.60

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Solution

The fourth proportional to 588.34, 884.54 and 473.60 is: 712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.34 : 884.54 = 473.60 : x
  2. Step 2: Convert to fraction form
    588.34/884.54 = 473.60/x
  3. Step 3: Cross multiply
    588.34x = 884.54 × 473.60
  4. Step 4: Simplify right side
    588.34x = 418,918.14
  5. Step 5: Solve for x
    x = 418,918.14/588.34
  6. Step 6: Final answer
    x = 712.03

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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.