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Finding the Fourth Proportional to 613.84, 847.08 and 393.16

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Solution

The fourth proportional to 613.84, 847.08 and 393.16 is: 542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.84 : 847.08 = 393.16 : x
  2. Step 2: Convert to fraction form
    613.84/847.08 = 393.16/x
  3. Step 3: Cross multiply
    613.84x = 847.08 × 393.16
  4. Step 4: Simplify right side
    613.84x = 333,037.97
  5. Step 5: Solve for x
    x = 333,037.97/613.84
  6. Step 6: Final answer
    x = 542.55

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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.