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Finding the Fourth Proportional to 665.58, 918.45 and 385.83

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Solution

The fourth proportional to 665.58, 918.45 and 385.83 is: 532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.58 : 918.45 = 385.83 : x
  2. Step 2: Convert to fraction form
    665.58/918.45 = 385.83/x
  3. Step 3: Cross multiply
    665.58x = 918.45 × 385.83
  4. Step 4: Simplify right side
    665.58x = 354,364.62
  5. Step 5: Solve for x
    x = 354,364.62/665.58
  6. Step 6: Final answer
    x = 532.41

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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.