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Finding the Fourth Proportional to 542.24, 812.14 and 298.22

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Solution

The fourth proportional to 542.24, 812.14 and 298.22 is: 446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.24 : 812.14 = 298.22 : x
  2. Step 2: Convert to fraction form
    542.24/812.14 = 298.22/x
  3. Step 3: Cross multiply
    542.24x = 812.14 × 298.22
  4. Step 4: Simplify right side
    542.24x = 242,197.68
  5. Step 5: Solve for x
    x = 242,197.68/542.24
  6. Step 6: Final answer
    x = 446.67

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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.