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Finding the Fourth Proportional to 613.82, 846.98 and 365.14

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Solution

The fourth proportional to 613.82, 846.98 and 365.14 is: 503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.82 : 846.98 = 365.14 : x
  2. Step 2: Convert to fraction form
    613.82/846.98 = 365.14/x
  3. Step 3: Cross multiply
    613.82x = 846.98 × 365.14
  4. Step 4: Simplify right side
    613.82x = 309,266.28
  5. Step 5: Solve for x
    x = 309,266.28/613.82
  6. Step 6: Final answer
    x = 503.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.