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Finding the Fourth Proportional to 665.47, 918.30 and 366.69

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Solution

The fourth proportional to 665.47, 918.30 and 366.69 is: 506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.47 : 918.30 = 366.69 : x
  2. Step 2: Convert to fraction form
    665.47/918.30 = 366.69/x
  3. Step 3: Cross multiply
    665.47x = 918.30 × 366.69
  4. Step 4: Simplify right side
    665.47x = 336,731.43
  5. Step 5: Solve for x
    x = 336,731.43/665.47
  6. Step 6: Final answer
    x = 506.01

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