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Finding the Fourth Proportional to 549.48, 824.54 and 305.98

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Solution

The fourth proportional to 549.48, 824.54 and 305.98 is: 459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.48 : 824.54 = 305.98 : x
  2. Step 2: Convert to fraction form
    549.48/824.54 = 305.98/x
  3. Step 3: Cross multiply
    549.48x = 824.54 × 305.98
  4. Step 4: Simplify right side
    549.48x = 252,292.75
  5. Step 5: Solve for x
    x = 252,292.75/549.48
  6. Step 6: Final answer
    x = 459.15

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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.