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Finding the Fourth Proportional to 668.42, 920.85 and 602.90

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Solution

The fourth proportional to 668.42, 920.85 and 602.90 is: 830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.42 : 920.85 = 602.90 : x
  2. Step 2: Convert to fraction form
    668.42/920.85 = 602.90/x
  3. Step 3: Cross multiply
    668.42x = 920.85 × 602.90
  4. Step 4: Simplify right side
    668.42x = 555,180.47
  5. Step 5: Solve for x
    x = 555,180.47/668.42
  6. Step 6: Final answer
    x = 830.59

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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.