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Finding the Fourth Proportional to 567.28, 849.84 and 278.80

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Solution

The fourth proportional to 567.28, 849.84 and 278.80 is: 417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.28 : 849.84 = 278.80 : x
  2. Step 2: Convert to fraction form
    567.28/849.84 = 278.80/x
  3. Step 3: Cross multiply
    567.28x = 849.84 × 278.80
  4. Step 4: Simplify right side
    567.28x = 236,935.39
  5. Step 5: Solve for x
    x = 236,935.39/567.28
  6. Step 6: Final answer
    x = 417.67

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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.