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Finding the Fourth Proportional to 613.33, 847.08 and 416.50

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Solution

The fourth proportional to 613.33, 847.08 and 416.50 is: 575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.33 : 847.08 = 416.50 : x
  2. Step 2: Convert to fraction form
    613.33/847.08 = 416.50/x
  3. Step 3: Cross multiply
    613.33x = 847.08 × 416.50
  4. Step 4: Simplify right side
    613.33x = 352,808.82
  5. Step 5: Solve for x
    x = 352,808.82/613.33
  6. Step 6: Final answer
    x = 575.23

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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.