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Finding the Fourth Proportional to 567.95, 849.65 and 491.73

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Solution

The fourth proportional to 567.95, 849.65 and 491.73 is: 735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.95 : 849.65 = 491.73 : x
  2. Step 2: Convert to fraction form
    567.95/849.65 = 491.73/x
  3. Step 3: Cross multiply
    567.95x = 849.65 × 491.73
  4. Step 4: Simplify right side
    567.95x = 417,795.94
  5. Step 5: Solve for x
    x = 417,795.94/567.95
  6. Step 6: Final answer
    x = 735.63

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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.