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Finding the Fourth Proportional to 612.28, 917.84 and 287.44

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Solution

The fourth proportional to 612.28, 917.84 and 287.44 is: 430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.28 : 917.84 = 287.44 : x
  2. Step 2: Convert to fraction form
    612.28/917.84 = 287.44/x
  3. Step 3: Cross multiply
    612.28x = 917.84 × 287.44
  4. Step 4: Simplify right side
    612.28x = 263,823.93
  5. Step 5: Solve for x
    x = 263,823.93/612.28
  6. Step 6: Final answer
    x = 430.89

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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.