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Finding the Fourth Proportional to 612.75, 845.64 and 364.13

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Solution

The fourth proportional to 612.75, 845.64 and 364.13 is: 502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.75 : 845.64 = 364.13 : x
  2. Step 2: Convert to fraction form
    612.75/845.64 = 364.13/x
  3. Step 3: Cross multiply
    612.75x = 845.64 × 364.13
  4. Step 4: Simplify right side
    612.75x = 307,922.89
  5. Step 5: Solve for x
    x = 307,922.89/612.75
  6. Step 6: Final answer
    x = 502.53

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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.