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Finding the Fourth Proportional to 567.77, 783.86 and 443.22

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Solution

The fourth proportional to 567.77, 783.86 and 443.22 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.77 : 783.86 = 443.22 : x
  2. Step 2: Convert to fraction form
    567.77/783.86 = 443.22/x
  3. Step 3: Cross multiply
    567.77x = 783.86 × 443.22
  4. Step 4: Simplify right side
    567.77x = 347,420.21
  5. Step 5: Solve for x
    x = 347,420.21/567.77
  6. Step 6: Final answer
    x = 611.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.