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Finding the Fourth Proportional to 613.79, 847.04 and 365.12

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Solution

The fourth proportional to 613.79, 847.04 and 365.12 is: 503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.79 : 847.04 = 365.12 : x
  2. Step 2: Convert to fraction form
    613.79/847.04 = 365.12/x
  3. Step 3: Cross multiply
    613.79x = 847.04 × 365.12
  4. Step 4: Simplify right side
    613.79x = 309,271.24
  5. Step 5: Solve for x
    x = 309,271.24/613.79
  6. Step 6: Final answer
    x = 503.87

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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.