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Finding the Fourth Proportional to 567.45, 849.76 and 361.41

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Solution

The fourth proportional to 567.45, 849.76 and 361.41 is: 541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.45 : 849.76 = 361.41 : x
  2. Step 2: Convert to fraction form
    567.45/849.76 = 361.41/x
  3. Step 3: Cross multiply
    567.45x = 849.76 × 361.41
  4. Step 4: Simplify right side
    567.45x = 307,111.76
  5. Step 5: Solve for x
    x = 307,111.76/567.45
  6. Step 6: Final answer
    x = 541.21

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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.