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Finding the Fourth Proportional to 596.69, 893.31 and 349.14

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Solution

The fourth proportional to 596.69, 893.31 and 349.14 is: 522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.69 : 893.31 = 349.14 : x
  2. Step 2: Convert to fraction form
    596.69/893.31 = 349.14/x
  3. Step 3: Cross multiply
    596.69x = 893.31 × 349.14
  4. Step 4: Simplify right side
    596.69x = 311,890.25
  5. Step 5: Solve for x
    x = 311,890.25/596.69
  6. Step 6: Final answer
    x = 522.70

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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.