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Finding the Fourth Proportional to 567.21, 849.74 and 374.25

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Solution

The fourth proportional to 567.21, 849.74 and 374.25 is: 560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.21 : 849.74 = 374.25 : x
  2. Step 2: Convert to fraction form
    567.21/849.74 = 374.25/x
  3. Step 3: Cross multiply
    567.21x = 849.74 × 374.25
  4. Step 4: Simplify right side
    567.21x = 318,013.32
  5. Step 5: Solve for x
    x = 318,013.32/567.21
  6. Step 6: Final answer
    x = 560.66

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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.