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Finding the Fourth Proportional to 588, 882.36 and 344.64

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Solution

The fourth proportional to 588, 882.36 and 344.64 is: 517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    588 : 882.36 = 344.64 : x
  2. Step 2: Convert to fraction form
    588/882.36 = 344.64/x
  3. Step 3: Cross multiply
    588x = 882.36 × 344.64
  4. Step 4: Simplify right side
    588x = 304,096.55
  5. Step 5: Solve for x
    x = 304,096.55/588
  6. Step 6: Final answer
    x = 517.17

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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.