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Finding the Fourth Proportional to 665.82, 918.90 and 417.33

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Solution

The fourth proportional to 665.82, 918.90 and 417.33 is: 575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.82 : 918.90 = 417.33 : x
  2. Step 2: Convert to fraction form
    665.82/918.90 = 417.33/x
  3. Step 3: Cross multiply
    665.82x = 918.90 × 417.33
  4. Step 4: Simplify right side
    665.82x = 383,484.54
  5. Step 5: Solve for x
    x = 383,484.54/665.82
  6. Step 6: Final answer
    x = 575.96

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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.