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Finding the Fourth Proportional to 668.05, 921.59 and 471.13

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Solution

The fourth proportional to 668.05, 921.59 and 471.13 is: 649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.05 : 921.59 = 471.13 : x
  2. Step 2: Convert to fraction form
    668.05/921.59 = 471.13/x
  3. Step 3: Cross multiply
    668.05x = 921.59 × 471.13
  4. Step 4: Simplify right side
    668.05x = 434,186.34
  5. Step 5: Solve for x
    x = 434,186.34/668.05
  6. Step 6: Final answer
    x = 649.93

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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.