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Finding the Fourth Proportional to 666.08, 918.80 and 456.15

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Solution

The fourth proportional to 666.08, 918.80 and 456.15 is: 629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.08 : 918.80 = 456.15 : x
  2. Step 2: Convert to fraction form
    666.08/918.80 = 456.15/x
  3. Step 3: Cross multiply
    666.08x = 918.80 × 456.15
  4. Step 4: Simplify right side
    666.08x = 419,108.34
  5. Step 5: Solve for x
    x = 419,108.34/666.08
  6. Step 6: Final answer
    x = 629.22

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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.