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Finding the Fourth Proportional to 610.16, 913.80 and 404.21

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Solution

The fourth proportional to 610.16, 913.80 and 404.21 is: 605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.16 : 913.80 = 404.21 : x
  2. Step 2: Convert to fraction form
    610.16/913.80 = 404.21/x
  3. Step 3: Cross multiply
    610.16x = 913.80 × 404.21
  4. Step 4: Simplify right side
    610.16x = 369,362.53
  5. Step 5: Solve for x
    x = 369,362.53/610.16
  6. Step 6: Final answer
    x = 605.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.