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Finding the Fourth Proportional to 610.44, 841.94 and 413.88

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Solution

The fourth proportional to 610.44, 841.94 and 413.88 is: 570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.44 : 841.94 = 413.88 : x
  2. Step 2: Convert to fraction form
    610.44/841.94 = 413.88/x
  3. Step 3: Cross multiply
    610.44x = 841.94 × 413.88
  4. Step 4: Simplify right side
    610.44x = 348,462.13
  5. Step 5: Solve for x
    x = 348,462.13/610.44
  6. Step 6: Final answer
    x = 570.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.