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Finding the Fourth Proportional to 613.66, 846.72 and 365.20

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Solution

The fourth proportional to 613.66, 846.72 and 365.20 is: 503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.66 : 846.72 = 365.20 : x
  2. Step 2: Convert to fraction form
    613.66/846.72 = 365.20/x
  3. Step 3: Cross multiply
    613.66x = 846.72 × 365.20
  4. Step 4: Simplify right side
    613.66x = 309,222.14
  5. Step 5: Solve for x
    x = 309,222.14/613.66
  6. Step 6: Final answer
    x = 503.90

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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.