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Finding the Fourth Proportional to 612.16, 917.66 and 227.32

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Solution

The fourth proportional to 612.16, 917.66 and 227.32 is: 340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.16 : 917.66 = 227.32 : x
  2. Step 2: Convert to fraction form
    612.16/917.66 = 227.32/x
  3. Step 3: Cross multiply
    612.16x = 917.66 × 227.32
  4. Step 4: Simplify right side
    612.16x = 208,602.47
  5. Step 5: Solve for x
    x = 208,602.47/612.16
  6. Step 6: Final answer
    x = 340.76

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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.