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Finding the Fourth Proportional to 612.32, 845.00 and 332.56

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Solution

The fourth proportional to 612.32, 845.00 and 332.56 is: 458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.32 : 845.00 = 332.56 : x
  2. Step 2: Convert to fraction form
    612.32/845.00 = 332.56/x
  3. Step 3: Cross multiply
    612.32x = 845.00 × 332.56
  4. Step 4: Simplify right side
    612.32x = 281,009.81
  5. Step 5: Solve for x
    x = 281,009.81/612.32
  6. Step 6: Final answer
    x = 458.93

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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.