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Finding the Fourth Proportional to 440.70, 607.62 and 413.97

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Solution

The fourth proportional to 440.70, 607.62 and 413.97 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.70 : 607.62 = 413.97 : x
  2. Step 2: Convert to fraction form
    440.70/607.62 = 413.97/x
  3. Step 3: Cross multiply
    440.70x = 607.62 × 413.97
  4. Step 4: Simplify right side
    440.70x = 251,536.45
  5. Step 5: Solve for x
    x = 251,536.45/440.70
  6. Step 6: Final answer
    x = 570.77

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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.