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Finding the Fourth Proportional to 665.07, 917.42 and 440.93

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Solution

The fourth proportional to 665.07, 917.42 and 440.93 is: 608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.07 : 917.42 = 440.93 : x
  2. Step 2: Convert to fraction form
    665.07/917.42 = 440.93/x
  3. Step 3: Cross multiply
    665.07x = 917.42 × 440.93
  4. Step 4: Simplify right side
    665.07x = 404,511.21
  5. Step 5: Solve for x
    x = 404,511.21/665.07
  6. Step 6: Final answer
    x = 608.22

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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.