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Finding the Fourth Proportional to 613.64, 847.16 and 414.62

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Solution

The fourth proportional to 613.64, 847.16 and 414.62 is: 572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.64 : 847.16 = 414.62 : x
  2. Step 2: Convert to fraction form
    613.64/847.16 = 414.62/x
  3. Step 3: Cross multiply
    613.64x = 847.16 × 414.62
  4. Step 4: Simplify right side
    613.64x = 351,247.90
  5. Step 5: Solve for x
    x = 351,247.90/613.64
  6. Step 6: Final answer
    x = 572.40

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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.