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Finding the Fourth Proportional to 576.68, 795.48 and 369.68

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Solution

The fourth proportional to 576.68, 795.48 and 369.68 is: 509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.68 : 795.48 = 369.68 : x
  2. Step 2: Convert to fraction form
    576.68/795.48 = 369.68/x
  3. Step 3: Cross multiply
    576.68x = 795.48 × 369.68
  4. Step 4: Simplify right side
    576.68x = 294,073.05
  5. Step 5: Solve for x
    x = 294,073.05/576.68
  6. Step 6: Final answer
    x = 509.94

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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.