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Finding the Fourth Proportional to 610.16, 842.10 and 377.24

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Solution

The fourth proportional to 610.16, 842.10 and 377.24 is: 520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.16 : 842.10 = 377.24 : x
  2. Step 2: Convert to fraction form
    610.16/842.10 = 377.24/x
  3. Step 3: Cross multiply
    610.16x = 842.10 × 377.24
  4. Step 4: Simplify right side
    610.16x = 317,673.80
  5. Step 5: Solve for x
    x = 317,673.80/610.16
  6. Step 6: Final answer
    x = 520.64

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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.