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Finding the Fourth Proportional to 567.22, 849.63 and 560.74

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Solution

The fourth proportional to 567.22, 849.63 and 560.74 is: 839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.22 : 849.63 = 560.74 : x
  2. Step 2: Convert to fraction form
    567.22/849.63 = 560.74/x
  3. Step 3: Cross multiply
    567.22x = 849.63 × 560.74
  4. Step 4: Simplify right side
    567.22x = 476,421.53
  5. Step 5: Solve for x
    x = 476,421.53/567.22
  6. Step 6: Final answer
    x = 839.92

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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.