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Finding the Fourth Proportional to 612.78, 845.58 and 364.05

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Solution

The fourth proportional to 612.78, 845.58 and 364.05 is: 502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.78 : 845.58 = 364.05 : x
  2. Step 2: Convert to fraction form
    612.78/845.58 = 364.05/x
  3. Step 3: Cross multiply
    612.78x = 845.58 × 364.05
  4. Step 4: Simplify right side
    612.78x = 307,833.40
  5. Step 5: Solve for x
    x = 307,833.40/612.78
  6. Step 6: Final answer
    x = 502.36

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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.