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Finding the Fourth Proportional to 538.18, 806.46 and 400.58

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Solution

The fourth proportional to 538.18, 806.46 and 400.58 is: 600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.18 : 806.46 = 400.58 : x
  2. Step 2: Convert to fraction form
    538.18/806.46 = 400.58/x
  3. Step 3: Cross multiply
    538.18x = 806.46 × 400.58
  4. Step 4: Simplify right side
    538.18x = 323,051.75
  5. Step 5: Solve for x
    x = 323,051.75/538.18
  6. Step 6: Final answer
    x = 600.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.