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Finding the Fourth Proportional to 613.34, 920.40 and 339.38

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Solution

The fourth proportional to 613.34, 920.40 and 339.38 is: 509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.34 : 920.40 = 339.38 : x
  2. Step 2: Convert to fraction form
    613.34/920.40 = 339.38/x
  3. Step 3: Cross multiply
    613.34x = 920.40 × 339.38
  4. Step 4: Simplify right side
    613.34x = 312,365.35
  5. Step 5: Solve for x
    x = 312,365.35/613.34
  6. Step 6: Final answer
    x = 509.29

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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.