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Finding the Fourth Proportional to 668.52, 920.07 and 471.69

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Solution

The fourth proportional to 668.52, 920.07 and 471.69 is: 649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.52 : 920.07 = 471.69 : x
  2. Step 2: Convert to fraction form
    668.52/920.07 = 471.69/x
  3. Step 3: Cross multiply
    668.52x = 920.07 × 471.69
  4. Step 4: Simplify right side
    668.52x = 433,987.82
  5. Step 5: Solve for x
    x = 433,987.82/668.52
  6. Step 6: Final answer
    x = 649.18

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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.