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Finding the Fourth Proportional to 668.22, 922.58 and 598.16

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Solution

The fourth proportional to 668.22, 922.58 and 598.16 is: 825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.22 : 922.58 = 598.16 : x
  2. Step 2: Convert to fraction form
    668.22/922.58 = 598.16/x
  3. Step 3: Cross multiply
    668.22x = 922.58 × 598.16
  4. Step 4: Simplify right side
    668.22x = 551,845.91
  5. Step 5: Solve for x
    x = 551,845.91/668.22
  6. Step 6: Final answer
    x = 825.84

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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.