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Finding the Fourth Proportional to 668.23, 922.41 and 598.16

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Solution

The fourth proportional to 668.23, 922.41 and 598.16 is: 825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.23 : 922.41 = 598.16 : x
  2. Step 2: Convert to fraction form
    668.23/922.41 = 598.16/x
  3. Step 3: Cross multiply
    668.23x = 922.41 × 598.16
  4. Step 4: Simplify right side
    668.23x = 551,751.07
  5. Step 5: Solve for x
    x = 551,751.07/668.23
  6. Step 6: Final answer
    x = 825.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.