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Finding the Fourth Proportional to 558.30, 771.05 and 435.42

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Solution

The fourth proportional to 558.30, 771.05 and 435.42 is: 601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.30 : 771.05 = 435.42 : x
  2. Step 2: Convert to fraction form
    558.30/771.05 = 435.42/x
  3. Step 3: Cross multiply
    558.30x = 771.05 × 435.42
  4. Step 4: Simplify right side
    558.30x = 335,732.52
  5. Step 5: Solve for x
    x = 335,732.52/558.30
  6. Step 6: Final answer
    x = 601.35

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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.