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Finding the Fourth Proportional to 410.24, 610.40 and 401.60

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Solution

The fourth proportional to 410.24, 610.40 and 401.60 is: 597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 610.40 = 401.60 : x
  2. Step 2: Convert to fraction form
    410.24/610.40 = 401.60/x
  3. Step 3: Cross multiply
    410.24x = 610.40 × 401.60
  4. Step 4: Simplify right side
    410.24x = 245,136.64
  5. Step 5: Solve for x
    x = 245,136.64/410.24
  6. Step 6: Final answer
    x = 597.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.