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Finding the Fourth Proportional to 549.79, 823.62 and 305.57

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Solution

The fourth proportional to 549.79, 823.62 and 305.57 is: 457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.79 : 823.62 = 305.57 : x
  2. Step 2: Convert to fraction form
    549.79/823.62 = 305.57/x
  3. Step 3: Cross multiply
    549.79x = 823.62 × 305.57
  4. Step 4: Simplify right side
    549.79x = 251,675.05
  5. Step 5: Solve for x
    x = 251,675.05/549.79
  6. Step 6: Final answer
    x = 457.77

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Why These Related Problems?

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