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Finding the Fourth Proportional to 612.37, 917.87 and 265.18

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Solution

The fourth proportional to 612.37, 917.87 and 265.18 is: 397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.37 : 917.87 = 265.18 : x
  2. Step 2: Convert to fraction form
    612.37/917.87 = 265.18/x
  3. Step 3: Cross multiply
    612.37x = 917.87 × 265.18
  4. Step 4: Simplify right side
    612.37x = 243,399.44
  5. Step 5: Solve for x
    x = 243,399.44/612.37
  6. Step 6: Final answer
    x = 397.47

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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.