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Finding the Fourth Proportional to 575.78, 794.57 and 339.72

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Solution

The fourth proportional to 575.78, 794.57 and 339.72 is: 468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.78 : 794.57 = 339.72 : x
  2. Step 2: Convert to fraction form
    575.78/794.57 = 339.72/x
  3. Step 3: Cross multiply
    575.78x = 794.57 × 339.72
  4. Step 4: Simplify right side
    575.78x = 269,929.62
  5. Step 5: Solve for x
    x = 269,929.62/575.78
  6. Step 6: Final answer
    x = 468.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.