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Finding the Fourth Proportional to 567.05, 849.96 and 277.88

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Solution

The fourth proportional to 567.05, 849.96 and 277.88 is: 416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.05 : 849.96 = 277.88 : x
  2. Step 2: Convert to fraction form
    567.05/849.96 = 277.88/x
  3. Step 3: Cross multiply
    567.05x = 849.96 × 277.88
  4. Step 4: Simplify right side
    567.05x = 236,182.64
  5. Step 5: Solve for x
    x = 236,182.64/567.05
  6. Step 6: Final answer
    x = 416.51

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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.