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Finding the Fourth Proportional to 400.52, 597.52 and 363.26

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Solution

The fourth proportional to 400.52, 597.52 and 363.26 is: 541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.52 : 597.52 = 363.26 : x
  2. Step 2: Convert to fraction form
    400.52/597.52 = 363.26/x
  3. Step 3: Cross multiply
    400.52x = 597.52 × 363.26
  4. Step 4: Simplify right side
    400.52x = 217,055.12
  5. Step 5: Solve for x
    x = 217,055.12/400.52
  6. Step 6: Final answer
    x = 541.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.