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Finding the Fourth Proportional to 549.34, 823.38 and 362.06

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Solution

The fourth proportional to 549.34, 823.38 and 362.06 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.34 : 823.38 = 362.06 : x
  2. Step 2: Convert to fraction form
    549.34/823.38 = 362.06/x
  3. Step 3: Cross multiply
    549.34x = 823.38 × 362.06
  4. Step 4: Simplify right side
    549.34x = 298,112.96
  5. Step 5: Solve for x
    x = 298,112.96/549.34
  6. Step 6: Final answer
    x = 542.67

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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.