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Finding the Fourth Proportional to 612.48, 918.83 and 287.85

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Solution

The fourth proportional to 612.48, 918.83 and 287.85 is: 431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.48 : 918.83 = 287.85 : x
  2. Step 2: Convert to fraction form
    612.48/918.83 = 287.85/x
  3. Step 3: Cross multiply
    612.48x = 918.83 × 287.85
  4. Step 4: Simplify right side
    612.48x = 264,485.22
  5. Step 5: Solve for x
    x = 264,485.22/612.48
  6. Step 6: Final answer
    x = 431.83

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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.