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Finding the Fourth Proportional to 612.89, 845.51 and 364.07

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Solution

The fourth proportional to 612.89, 845.51 and 364.07 is: 502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.89 : 845.51 = 364.07 : x
  2. Step 2: Convert to fraction form
    612.89/845.51 = 364.07/x
  3. Step 3: Cross multiply
    612.89x = 845.51 × 364.07
  4. Step 4: Simplify right side
    612.89x = 307,825.12
  5. Step 5: Solve for x
    x = 307,825.12/612.89
  6. Step 6: Final answer
    x = 502.25

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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.