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Finding the Fourth Proportional to 665.64, 918.36 and 416.88

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Solution

The fourth proportional to 665.64, 918.36 and 416.88 is: 575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.64 : 918.36 = 416.88 : x
  2. Step 2: Convert to fraction form
    665.64/918.36 = 416.88/x
  3. Step 3: Cross multiply
    665.64x = 918.36 × 416.88
  4. Step 4: Simplify right side
    665.64x = 382,845.92
  5. Step 5: Solve for x
    x = 382,845.92/665.64
  6. Step 6: Final answer
    x = 575.15

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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.