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Finding the Fourth Proportional to 665.81, 918.83 and 386.07

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Solution

The fourth proportional to 665.81, 918.83 and 386.07 is: 532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.81 : 918.83 = 386.07 : x
  2. Step 2: Convert to fraction form
    665.81/918.83 = 386.07/x
  3. Step 3: Cross multiply
    665.81x = 918.83 × 386.07
  4. Step 4: Simplify right side
    665.81x = 354,726.17
  5. Step 5: Solve for x
    x = 354,726.17/665.81
  6. Step 6: Final answer
    x = 532.77

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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.