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Finding the Fourth Proportional to 567.56, 786.57 and 558.92

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Solution

The fourth proportional to 567.56, 786.57 and 558.92 is: 774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.56 : 786.57 = 558.92 : x
  2. Step 2: Convert to fraction form
    567.56/786.57 = 558.92/x
  3. Step 3: Cross multiply
    567.56x = 786.57 × 558.92
  4. Step 4: Simplify right side
    567.56x = 439,625.77
  5. Step 5: Solve for x
    x = 439,625.77/567.56
  6. Step 6: Final answer
    x = 774.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.