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Finding the Fourth Proportional to 410.89, 567.04 and 224.40

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Solution

The fourth proportional to 410.89, 567.04 and 224.40 is: 309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.89 : 567.04 = 224.40 : x
  2. Step 2: Convert to fraction form
    410.89/567.04 = 224.40/x
  3. Step 3: Cross multiply
    410.89x = 567.04 × 224.40
  4. Step 4: Simplify right side
    410.89x = 127,241.02
  5. Step 5: Solve for x
    x = 127,241.02/410.89
  6. Step 6: Final answer
    x = 309.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.