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Finding the Fourth Proportional to 567.80, 849.54 and 375.80

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Solution

The fourth proportional to 567.80, 849.54 and 375.80 is: 562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.80 : 849.54 = 375.80 : x
  2. Step 2: Convert to fraction form
    567.80/849.54 = 375.80/x
  3. Step 3: Cross multiply
    567.80x = 849.54 × 375.80
  4. Step 4: Simplify right side
    567.80x = 319,257.13
  5. Step 5: Solve for x
    x = 319,257.13/567.80
  6. Step 6: Final answer
    x = 562.27

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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.