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Finding the Fourth Proportional to 549.18, 823.77 and 332.51

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Solution

The fourth proportional to 549.18, 823.77 and 332.51 is: 498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 823.77 = 332.51 : x
  2. Step 2: Convert to fraction form
    549.18/823.77 = 332.51/x
  3. Step 3: Cross multiply
    549.18x = 823.77 × 332.51
  4. Step 4: Simplify right side
    549.18x = 273,907.64
  5. Step 5: Solve for x
    x = 273,907.64/549.18
  6. Step 6: Final answer
    x = 498.76

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