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Finding the Fourth Proportional to 575.11, 794.03 and 442.09

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Solution

The fourth proportional to 575.11, 794.03 and 442.09 is: 610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.11 : 794.03 = 442.09 : x
  2. Step 2: Convert to fraction form
    575.11/794.03 = 442.09/x
  3. Step 3: Cross multiply
    575.11x = 794.03 × 442.09
  4. Step 4: Simplify right side
    575.11x = 351,030.51
  5. Step 5: Solve for x
    x = 351,030.51/575.11
  6. Step 6: Final answer
    x = 610.38

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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.