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Finding the Fourth Proportional to 613.96, 847.46 and 407.08

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Solution

The fourth proportional to 613.96, 847.46 and 407.08 is: 561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.96 : 847.46 = 407.08 : x
  2. Step 2: Convert to fraction form
    613.96/847.46 = 407.08/x
  3. Step 3: Cross multiply
    613.96x = 847.46 × 407.08
  4. Step 4: Simplify right side
    613.96x = 344,984.02
  5. Step 5: Solve for x
    x = 344,984.02/613.96
  6. Step 6: Final answer
    x = 561.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.