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Finding the Fourth Proportional to 575.73, 794.27 and 401.18

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Solution

The fourth proportional to 575.73, 794.27 and 401.18 is: 553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.73 : 794.27 = 401.18 : x
  2. Step 2: Convert to fraction form
    575.73/794.27 = 401.18/x
  3. Step 3: Cross multiply
    575.73x = 794.27 × 401.18
  4. Step 4: Simplify right side
    575.73x = 318,642.27
  5. Step 5: Solve for x
    x = 318,642.27/575.73
  6. Step 6: Final answer
    x = 553.46

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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.