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Finding the Fourth Proportional to 610.90, 842.81 and 433.85

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Solution

The fourth proportional to 610.90, 842.81 and 433.85 is: 598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.90 : 842.81 = 433.85 : x
  2. Step 2: Convert to fraction form
    610.90/842.81 = 433.85/x
  3. Step 3: Cross multiply
    610.90x = 842.81 × 433.85
  4. Step 4: Simplify right side
    610.90x = 365,646.74
  5. Step 5: Solve for x
    x = 365,646.74/610.90
  6. Step 6: Final answer
    x = 598.54

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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.