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Finding the Fourth Proportional to 665.74, 918.89 and 385.93

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Solution

The fourth proportional to 665.74, 918.89 and 385.93 is: 532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.74 : 918.89 = 385.93 : x
  2. Step 2: Convert to fraction form
    665.74/918.89 = 385.93/x
  3. Step 3: Cross multiply
    665.74x = 918.89 × 385.93
  4. Step 4: Simplify right side
    665.74x = 354,627.22
  5. Step 5: Solve for x
    x = 354,627.22/665.74
  6. Step 6: Final answer
    x = 532.68

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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.