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Finding the Fourth Proportional to 613.64, 846.54 and 364.82

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Solution

The fourth proportional to 613.64, 846.54 and 364.82 is: 503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.64 : 846.54 = 364.82 : x
  2. Step 2: Convert to fraction form
    613.64/846.54 = 364.82/x
  3. Step 3: Cross multiply
    613.64x = 846.54 × 364.82
  4. Step 4: Simplify right side
    613.64x = 308,835.03
  5. Step 5: Solve for x
    x = 308,835.03/613.64
  6. Step 6: Final answer
    x = 503.28

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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.