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Finding the Fourth Proportional to 612.58, 917.24 and 323.41

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Solution

The fourth proportional to 612.58, 917.24 and 323.41 is: 484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.58 : 917.24 = 323.41 : x
  2. Step 2: Convert to fraction form
    612.58/917.24 = 323.41/x
  3. Step 3: Cross multiply
    612.58x = 917.24 × 323.41
  4. Step 4: Simplify right side
    612.58x = 296,640.00
  5. Step 5: Solve for x
    x = 296,640.00/612.58
  6. Step 6: Final answer
    x = 484.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.