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Finding the Fourth Proportional to 549.80, 823.14 and 305.42

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Solution

The fourth proportional to 549.80, 823.14 and 305.42 is: 457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.80 : 823.14 = 305.42 : x
  2. Step 2: Convert to fraction form
    549.80/823.14 = 305.42/x
  3. Step 3: Cross multiply
    549.80x = 823.14 × 305.42
  4. Step 4: Simplify right side
    549.80x = 251,403.42
  5. Step 5: Solve for x
    x = 251,403.42/549.80
  6. Step 6: Final answer
    x = 457.26

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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.