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Finding the Fourth Proportional to 612.18, 917.82 and 287.28

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Solution

The fourth proportional to 612.18, 917.82 and 287.28 is: 430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.18 : 917.82 = 287.28 : x
  2. Step 2: Convert to fraction form
    612.18/917.82 = 287.28/x
  3. Step 3: Cross multiply
    612.18x = 917.82 × 287.28
  4. Step 4: Simplify right side
    612.18x = 263,671.33
  5. Step 5: Solve for x
    x = 263,671.33/612.18
  6. Step 6: Final answer
    x = 430.71

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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.