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Finding the Fourth Proportional to 558.03, 770.13 and 417.90

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Solution

The fourth proportional to 558.03, 770.13 and 417.90 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.03 : 770.13 = 417.90 : x
  2. Step 2: Convert to fraction form
    558.03/770.13 = 417.90/x
  3. Step 3: Cross multiply
    558.03x = 770.13 × 417.90
  4. Step 4: Simplify right side
    558.03x = 321,837.33
  5. Step 5: Solve for x
    x = 321,837.33/558.03
  6. Step 6: Final answer
    x = 576.74

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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.