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Finding the Fourth Proportional to 665.39, 918.21 and 366.58

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Solution

The fourth proportional to 665.39, 918.21 and 366.58 is: 505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.39 : 918.21 = 366.58 : x
  2. Step 2: Convert to fraction form
    665.39/918.21 = 366.58/x
  3. Step 3: Cross multiply
    665.39x = 918.21 × 366.58
  4. Step 4: Simplify right side
    665.39x = 336,598.92
  5. Step 5: Solve for x
    x = 336,598.92/665.39
  6. Step 6: Final answer
    x = 505.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.