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Finding the Fourth Proportional to 612.58, 845.35 and 332.82

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Solution

The fourth proportional to 612.58, 845.35 and 332.82 is: 459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.58 : 845.35 = 332.82 : x
  2. Step 2: Convert to fraction form
    612.58/845.35 = 332.82/x
  3. Step 3: Cross multiply
    612.58x = 845.35 × 332.82
  4. Step 4: Simplify right side
    612.58x = 281,349.39
  5. Step 5: Solve for x
    x = 281,349.39/612.58
  6. Step 6: Final answer
    x = 459.29

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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.