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Finding the Fourth Proportional to 597.02, 823.41 and 400.16

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Solution

The fourth proportional to 597.02, 823.41 and 400.16 is: 551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.02 : 823.41 = 400.16 : x
  2. Step 2: Convert to fraction form
    597.02/823.41 = 400.16/x
  3. Step 3: Cross multiply
    597.02x = 823.41 × 400.16
  4. Step 4: Simplify right side
    597.02x = 329,495.75
  5. Step 5: Solve for x
    x = 329,495.75/597.02
  6. Step 6: Final answer
    x = 551.90

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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.