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Finding the Fourth Proportional to 567.25, 849.85 and 494.35

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Solution

The fourth proportional to 567.25, 849.85 and 494.35 is: 740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.25 : 849.85 = 494.35 : x
  2. Step 2: Convert to fraction form
    567.25/849.85 = 494.35/x
  3. Step 3: Cross multiply
    567.25x = 849.85 × 494.35
  4. Step 4: Simplify right side
    567.25x = 420,128.24
  5. Step 5: Solve for x
    x = 420,128.24/567.25
  6. Step 6: Final answer
    x = 740.64

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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.