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Finding the Fourth Proportional to 567.34, 849.64 and 563.24

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Solution

The fourth proportional to 567.34, 849.64 and 563.24 is: 843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.34 : 849.64 = 563.24 : x
  2. Step 2: Convert to fraction form
    567.34/849.64 = 563.24/x
  3. Step 3: Cross multiply
    567.34x = 849.64 × 563.24
  4. Step 4: Simplify right side
    567.34x = 478,551.23
  5. Step 5: Solve for x
    x = 478,551.23/567.34
  6. Step 6: Final answer
    x = 843.50

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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.