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Finding the Fourth Proportional to 613.29, 846.25 and 364.56

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Solution

The fourth proportional to 613.29, 846.25 and 364.56 is: 503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.29 : 846.25 = 364.56 : x
  2. Step 2: Convert to fraction form
    613.29/846.25 = 364.56/x
  3. Step 3: Cross multiply
    613.29x = 846.25 × 364.56
  4. Step 4: Simplify right side
    613.29x = 308,506.18
  5. Step 5: Solve for x
    x = 308,506.18/613.29
  6. Step 6: Final answer
    x = 503.04

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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.