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Finding the Fourth Proportional to 558.29, 770.69 and 411.35

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Solution

The fourth proportional to 558.29, 770.69 and 411.35 is: 567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.29 : 770.69 = 411.35 : x
  2. Step 2: Convert to fraction form
    558.29/770.69 = 411.35/x
  3. Step 3: Cross multiply
    558.29x = 770.69 × 411.35
  4. Step 4: Simplify right side
    558.29x = 317,025.85
  5. Step 5: Solve for x
    x = 317,025.85/558.29
  6. Step 6: Final answer
    x = 567.85

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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.