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Finding the Fourth Proportional to 612.80, 845.54 and 347.12

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Solution

The fourth proportional to 612.80, 845.54 and 347.12 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.80 : 845.54 = 347.12 : x
  2. Step 2: Convert to fraction form
    612.80/845.54 = 347.12/x
  3. Step 3: Cross multiply
    612.80x = 845.54 × 347.12
  4. Step 4: Simplify right side
    612.80x = 293,503.84
  5. Step 5: Solve for x
    x = 293,503.84/612.80
  6. Step 6: Final answer
    x = 478.96

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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.